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A runs at a speed 1 2/3 times faster than B. If A allows B a head start of 80 meters, what should be the distance to the finish line so that both A and B arrive simultaneously?

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Subject
Races and Gamesmathematics-mcqs › races-and-games
Published
21 Sept 2019
Last updated
28 May 2026

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Explanation

Since A runs 1 2/3 times as fast as B and gives B a lead of 80 meters, the finish line must be 200 meters away for them to reach it together.

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Practice related questions from the same subject.

  1. 1.In a 100-meter sprint, runner A finishes 25 meters ahead of runner B, and runner B finishes 4 meters ahead of runner C. By how many meters does runner A beat runner C in the same race?
  2. 2.In an 80-point game, player P can give 16 points to player Q, and player R can give 20 points to player P. How many points can player R give to player Q in a 150-point game?
  3. 3.If runner X covers 48 meters while runner Y covers 42 meters in the same time, by how many meters will X win in a 1-kilometer race?
  4. 4.In a 300-meter race, runner A finishes 22.5 meters ahead of runner B and beats B by 6 seconds. What is the total time taken by runner B to complete the race?
  5. 5.In a billiards match, player A can give player B a 20-point advantage in a 60-point game, and A can also give player C a 30-point advantage in the same 60-point game. How many points can B give C in a 100-point game?
  6. 6.In a 1000-meter race, A finishes 100 meters ahead of B. In an 800-meter race, B finishes 100 meters ahead of C. How many meters will A win by against C in a 600-meter race?
  7. 7.Runner A completes a 1-kilometer race in 4.5 minutes, whereas runner B finishes the same race in 5 minutes. What distance advantage should A give B at the start so that they both finish simultaneously?
  8. 8.In a 1-kilometer race, runner A finishes 50 meters ahead of runner B and beats B by 10 seconds. How long does A take to complete the race?
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