Races and Games Questions and Answers
Practice ModeShowing 10 of 37 questions
Q11
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Answer: Option C
Q12
In a 100m race, A beats B by 10m and B beats C by 10m. By what distance does A beat C?
Answer: Option B
Explanation: When A finishes 100m, B covers 90m. When B covers 100m, C covers 90m. So when B covers 90m, C covers 90 × 90/100 = 81m. Thus A beats C by 100 - 81 = 19m.
Q13
A can run 100m in 15 seconds and B in 20 seconds. How many meters start should A give B in a 100m race?
Answer: Option B
Explanation: Speed ratio A:B = 20:15 = 4:3. When A runs 100m, B runs 75m. So A should give B 25m start.
Q14
In a 200m race, A beats B by 20m. What is the ratio of their speeds?
Answer: Option A
Explanation: When A runs 200m, B runs 180m. Ratio of speeds = 200:180 = 10:9.
Q15
A and B run a race of 400m. A gives B a start of 50m and still beats him by 10 seconds. If A's speed is 10 m/s, what is B's speed?
Answer: Option B
Explanation: A runs 400m in 40s (400/10). B runs 350m in 50s (40+10). So B's speed = 350/50 = 7 m/s.
Q16
In a game of 100 points, A can give B 20 points and C 28 points. How many points can B give C?
Answer: Option A
Explanation: A:B = 100:80 = 5:4, A:C = 100:72 = 25:18. B:C = B/A × A/C = 4/5 × 25/18 = 100/90 = 10:9. So B can give C 10 points in 100.
Q17
In a 500m race, the ratio of speeds of A and B is 3:4. What is the distance of A from the finishing line when B finishes the race?
Answer: Option B
Explanation: When B covers 500m, A covers 500 × 3/4 = 375m. So A is 500 - 375 = 125m behind.
Q18
A runs 1.5 times as fast as B. If A gives B a start of 75m, how far must the winning post be so that both reach at the same time?
Answer: Option B
Explanation: Speed ratio A:B = 3:2. Let race distance be x. Then (x-75)/2 = x/3. Solving: 3x-225 = 2x, x = 225m.
Q19
In a 100m race, A beats B by 10m and C by 20m. In a race of 180m, by how many meters will B beat 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. When B runs 180m, C runs 180 × 8/9 = 160m. So B beats C by 20m.
Q20
A and B run a km race. A wins by 1 minute. A and C run a km race. A wins by 375m. B and C run a km race. B wins by 30 seconds. Find the time taken by A 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 when A runs 1000m, C runs 625m. B beats C by 30 seconds. Solving equations gives x = 5 minutes.