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?

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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

When A runs 1000 meters, B covers 900 meters. Similarly, when B runs 800 meters, C runs 700 meters. Therefore, when B runs 900 meters, C covers (900 × 700) ÷ 800 = 787.5 meters. This means in a 1000-meter race, A beats C by (1000 - 787.5) = 212.5 meters. Hence, in a 600-meter race, A will beat C by (600 × 212.5) ÷ 1000 = 127.5 meters.

Practice related questions from the same subject.

1.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?
2.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?
3.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?
4.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?
5.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?
6.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?
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.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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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?

Explanation

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