Races and Games Questions and Answers
Practice ModeShowing 10 of 37 questions
Q31
In a 200m race, A beats B by 5 seconds. If A's speed is 10 m/s, what is B's speed?
Answer: Option B
Explanation: A's time = 200/10 = 20 seconds. B's time = 20 + 5 = 25 seconds. B's speed = 200/25 = 8 m/s.
Q32
A can run 100m in 12 seconds and B in 15 seconds. By what distance does A beat B?
Answer: Option B
Explanation: A's speed = 100/12 m/s, B's speed = 100/15 m/s. When A finishes 100m in 12 seconds, B covers (100/15) × 12 = 80m. So A beats B by 20m.
Q33
In a 300m race, A beats B by 22.5m or 3 seconds. What is B's speed?
Answer: Option C
Explanation: B covers 22.5m in 3 seconds, so B's speed = 22.5/3 = 7.5 m/s.
Q34
A and B run a km and A wins by 1 minute. A and C run a km and A wins by 375m. B and C run a km and B wins by 30 seconds. Find the time taken by B to run a km.
Answer: Option B
Explanation: Let A's time = x min, then B's time = x+1 min. A beats C by 375m, so C's time for 1km = (1000/625) × x = 1.6x. B beats C by 30 seconds, so (x+1) = 1.6x - 0.5. Solving: 0.6x = 1.5, x = 2.5 min. So B's time = 3.5 min.
Q35
In a 100m race, A can give B 10m and C 20m. How many meters start can B give C?
Answer: Option B
Explanation: A:B = 100:90 = 10:9, A:C = 100:80 = 5:4. B:C = 9/10 × 5/4 = 45/40 = 9:8. So in 100m, B can give C 100 - (100 × 8/9) = 100 - 88.89 = 11.11m ≈ 11m.
Q36
Two runners A and B run a race of 800m. A runs at 8 m/s and B at 6 m/s. A gives B a start of 100m. Who wins and by what distance?
Answer: Option B
Explanation: A's time for 800m = 800/8 = 100 seconds. B has to run 700m (800-100) at 6 m/s, time = 700/6 = 116.67 seconds. So A wins by 116.67 - 100 = 16.67 seconds, which is 16.67 × 6 = 100m distance.
Q37
In a 400m circular race, A and B start from the same point at speeds of 10 m/s and 8 m/s. After how much time will they meet for the first time?
Answer: Option B
Explanation: Relative speed = 10 - 8 = 2 m/s. They meet when faster gains one lap = 400m. Time = 400/2 = 200 seconds.