We need your funds

March 22, 2020

Challenge Problem 17: Three Runners Puzzle (From India’s Civil Services Exam)

There are three runners X, Y, and Z. Each runs with a different uniform speed in a 1000 meters race.

If X gives Y a start of 50 meters, they will finish the race at the same time.

If X gives Z a start of 69 meters, they will finish the race at the same time.

Suppose Y and Z are in a race. How much of a start should Y give to Z so they would finish the race at the same time?



>> Challenge Problem 15: An Amazing Result of Complicated Exponent Problem

This is adapted from India’s Civil Services Exam.

You might guess the answer is 69 – 50 = 19. That is close but it’s not correct! The reason is Y needs to give Z a 19 m start if they were running a 950 m race. But we need the answer for a 1000 m race.

We can use the formula distance = (rate)(time), which is equivalently time = (distance)/(rate). Use lower-case letters to indicate each runner’s speed (rate of running).

X and Y run the same time when X runs 1000 meters and Y runs 1000 – 50 = 950 meters. Thus we have the equation:

1000/x = 950/y
y = 0.95x

Y is 95% the speed of X.

X and Z run the same time when X runs 1000 meters and Z runs 1000 – 69 = 931 meters. Thus we have the equation:

1000/x = 931/z
Z = 0.931x

Z is 93.1% the speed of X.

Both equations equal 1000/x, so we can equate the right hand sides.

950/y = 931/z

Now multiply both sides by 1000/950 to solve for the time it takes y to run 1000 meters. This gives:

1000/y = (931/z)(1000/950)
1000/y = 980/z
z = .98y

This means Y completes 1000 meters in the time Z would complete 980 meters (or Z is 98% the speed of Y). Thus Y needs to give Z a 20 meter start.

Source
Mind Your Decision

Loading...

34 comments:

  1. Replies
    1. IEEE Final Year projects Project Centers in India are consistently sought after. Final Year Students Projects take a shot at them to improve their aptitudes, while specialists like the enjoyment in interfering with innovation. For experts, it's an alternate ball game through and through. Smaller than expected IEEE Final Year project centers ground for all fragments of CSE & IT engineers hoping to assemble. Final Year Projects for CSE It gives you tips and rules that is progressively critical to consider while choosing any final year project point.

      JavaScript Online Training in India

      JavaScript Training in India

      The Angular Training covers a wide range of topics including Components, Angular Directives, Angular Services, Pipes, security fundamentals, Routing, and Angular programmability. The new Angular TRaining will lay the foundation you need to specialise in Single Page Application developer. Angular Training

      Delete
  2. It's very useful blog post with inforamtive and insightful content and i had good experience with this information.I have gone through CRS Info Solutions Home which really nice. Learn more details About Us of CRS info solutions. Here you can see the Courses CRS Info Solutions full list. Find Student Registration page and register now.Find this real time DevOps Training and great teaching. Join now on Selenium Training online course. Upskill career with Tableau training by crs info solutions. Latest trending course is Salesforce Lightning training with excellent jobs.

    ReplyDelete
  3. There is noticeably a lot of money to understand this. I assume you made certain nice points in functions also. puzzle solving

    ReplyDelete
  4. Awesome article! It is in detail and well formatted that i enjoyed reading. which inturn helped me to get new information from your blog. After reading your article I was amazed. I know that you explain it very well. And I hope that other readers will also experience how I feel after reading your article.

    Data Science Training In Chennai

    Data Science Online Training In Chennai

    Data Science Training In Bangalore

    Data Science Training In Hyderabad

    Data Science Training In Coimbatore

    Data Science Training

    Data Science Online Training

    ReplyDelete
  5. Hey what a brilliant post I have come across and believe me I have been searching out for this similar kind of post for past a week and hardly came across this. Thank you very much and will look for more postings from you. cfa pd

    ReplyDelete
  6. Word puzzles are good entertainment source which can be played by people of any group be it kids, adults, senior people. cheat words finder wordigg

    ReplyDelete
  7. By now, if you have written several different styles of essay assignments, you know that there is a specific essay writing process that you need to follow. The nice thing about this is that once you get it down you can modify it to best suit the way you work and possibly even streamline it even further. The process, generally speaking, is the same every time you use it: find a topic, start doing research, create an outline, write each section over a series of days, edited and proofread it, and finally, hand it in. Question Paper 2021

    ReplyDelete
  8. Education in India has a rich history of laurels dating back to Nalanda university days. Nalanda University in Bihar was a centre of excellence for educational needs of scores of students from all across the globe. India education falls under the discretion of state and union governments, respectively. 12th Model Paper 2021

    ReplyDelete
  9. The education system is being divided on the basis of ability to pay banks. The nations needs are becoming secondary to those of financial institutions. The wealthy are using the very model to prepare their children for college that the federal government is rejecting for main stream America. Why is this double standard being created? Model Question Paper 2021

    ReplyDelete
  10. wonderful article contains lot of valuable information. Very interesting to read this article.I would like to thank you for the efforts you had made for writing this awesome article.
    This article resolved my all queries.good luck an best wishes to the team members.learn digital marketing use these following link
    Digital Marketing Course in Chennai

    ReplyDelete
  11. Really this is very good information. I really enjoyed it. Thank you for sharing the information. Keep on sharing the information.
    Python Training in chennai

    Python Course in chennai

    ReplyDelete
  12. The education system is being divided on the basis of ability to pay banks. The nations needs are becoming secondary to those of financial institutions. The wealthy are using the very model to prepare their children for college that the federal government is rejecting for main stream America. Why is this double standard being created? acim blog

    ReplyDelete
  13. Will we become a nation where a segment of our society is forever denied education? Will we become a nation of haves and have nots? https://livingmiraclescenter.org/news-blog/a-course-in-miracles-blog-newsletter.html

    ReplyDelete
  14. Thank you because you have been willing to share information with us. we will always appreciate all you have done here because I know you are very concerned with our. Assignment Answer Class 6

    ReplyDelete
  15. Will we become a nation where a segment of our society is forever denied education? Will we become a nation of haves and have nots? Class 6 Assignment 2021

    ReplyDelete
  16. No matter how good you will become at writing essays, there will come a time when you are asked to write an assignment and style that is unfamiliar to you or, if you have never written before, the entire process can seem to be a very long and very confusing project. However, one way to quickly learn what you need to do and how you need to write get a specific style, is to search for and find an essay writing guide. undefined

    ReplyDelete
  17. This comment has been removed by the author.

    ReplyDelete
  18. Unfortunately there is no one-method-fits-all technique to writing a quality college essay, every topic requires a different approach. However, that being said if you follow this top 10 checklist you can make the process a little easier. Understand what is being asked. How to Hear the Holy Spirit

    ReplyDelete
  19. Great job for publishing such a beneficial web site. Your web log isn’t only useful but it is additionally really creative too. https://whataftercollege.com/insights/top-7-ias-coaching-institutes-in-delhi/

    ReplyDelete
  20. Particularly adored by young men, vehicles and vehicle games have consistently intrigued them. At first it starts with assortment of different toy vehicles. Click Speed Test

    ReplyDelete
  21. Looking for a good deal on bulk glitter? Explore a wide range of the best bulk glitter on GlitterMall to find one that suits you! Besides good quality brands, you’ll also find plenty of discounts when you shop for bulk glitter during big sales. Don’t forget one crucial step - filter for items that offer bonus perks like free shipping & free return to make the most of your online shopping experience!

    ReplyDelete
  22. colorful compression socks wholesale
    More and more people wear compression socks, there will always be people curious about its principle, want to understand its role, whether it is as magical as the manufacturer said, set a variety of functions in one? Small make up with you to explore the discovery, a comprehensive analysis of compression socks.
    1. Compression socks were first used in the field of treatment
    Compression socks have been used for decades in patients with chronic venous insufficiency to improve venous return and reduce lower extremity swelling and thrombosis by applying a top-down gradient of pressure.
    As we all know, the heart drives the blood flow throughout the body. When the blood flows back to the veins through the arteries and capillaries, the power has been significantly attenuated, and the lower extremity venous blood needs to overcome gravity to do work to return to the heart. Will the venous blood flow back? Hey hey, the human body is magic, vein blood vessels usually have the existence of double valve, in the flow from the bottom to the top, the valve is attached to the vascular wall, will not cause obstruction, once standing or other reasons caused by venous pressure increase, two valves will open, prevent venous blood reflux.

    ReplyDelete
  23. Give yourself a new experience, a different enjoyment, then try this, sex machine can give you a chance to get to know yourself again.

    ReplyDelete
  24. Are you worry about looking for a high-quality can lid set? We are pleasure to do you a favor. Forget those inferior canning lids! JARLIDS canning lids can bring you and your family a better experience of making jams. Trust us, you will not miss any wonderful cooking moments.Canninglidspro.com is a product market that can help people live happier and healthier liveswe have established an ecommerce platform that provides direct support to consumers with each purchase.From individual creators to grass-roots manufacturers, we connect people with trusted manufacturers.

    ReplyDelete
  25. blood pressure watch professional in R&D wearable blood pressure monitor, in the innovative form of a wrist watch, proactively monitors your heart health by turning real-time heart data into heart.
    mason jar lids canning lids supplier. offer canning Lids in different style and size
    Cervical spine massager We aim to create a healthy lifestyle that assists every individual to de-stress, relax. unwind and streamline a pain-free life and at the same time feel and look amazing.
    sex machine for her Choose Sex Machine to Get Orgasm and Enjoy Life
    moving dildo Enjoy sexual life for both men and women
    neon light for roomNeon Signs Light Is One-of-a-Kind Activities Designed and Hosted by Expert Locals. All Experiences are Vetted for Quality.
    dog training collarsPets Supplier mall offers the ultimate pet shop experience. We have all the pet supplies, pet food, toys and accessories you and your pet needs at great prices. Find all the best pets suppliers coupons, promotion.
    novelty giftsDiscover the latest and most interesting gadgets at a bargain price
    Car decorationHere you will find the latest and most fashionable car accessories

    ReplyDelete
  26. Most appropriate the human race messages work to show your and present exclusive chance with special couple. Beginer appear system in advance of raucous people will most likely always be aware most of the golden value off presentation, which is a person’s truck. best man jokes anagram tool

    ReplyDelete

♥ You are highly recommended to use Google or Facebook accounts to jot a few comments down if you have any further questions or concerns. Don't forget to check on "Notify me" at the bottom-right corner of the comment box to keep tracking your comment replies.
♥ Share to be shared - if you want to share any of your own thoughts to this blog's readers, please don't hesitate to reach me here. Many Thanks!
Have a good one!

Related Posts Plugin for WordPress, Blogger...