In a 1000m race, A beats B by 100m and B beats C by 100m. By how many meters does A beat C in the same race? MCQ with Answer and Explanation

In a 1000m race, A beats B by 100m and B beats C by 100m. By how many meters does A beat C in the same race?
A. 180m
B. 190m
C. 210m
D. 200m
Answer: Option B
Solution (By JKSSB Mock Tests)
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 900m. So when B covers 900m, C covers 900 * (900/1000) = 810m. Therefore, when A covers 1000m, C covers 810m. A beats C by 1000 - 810 = 190m.

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Practice More Time Speed and Distance Questions

Question #1
A man wins a race of 100 meters over another man by 10 meters or 2 seconds. Find the time taken by the winner to complete the race.
A. 18 seconds
B. 20 seconds
C. 16 seconds
D. 22 seconds

Correct Answer: Option A


Explanation:
The second man covers 10 meters in 2 seconds, so his speed = 10 / 2 = 5 m/s. Total time taken by second man to complete 100m = 100 / 5 = 20 seconds. Since the winner beats him by 2 seconds, winner's time = 20 - 2 = 18 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2
A car covers a distance of 450 km at a certain speed. If the speed is increased by 5 km/h, it takes 1 hour less to cover the same distance. Find the original speed of the car.
A. 45 km/h
B. 40 km/h
C. 55 km/h
D. 50 km/h

Correct Answer: Option A


Explanation:
Let original speed be s. 450/s - 450/(s+5) = 1 => 450(s + 5 - s) = s(s + 5) => 2250 = s(s + 5). Solving s^2 + 5s - 2250 = 0 gives (s - 45)(s + 50) = 0. Since speed is positive, s = 45 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A train 120 meters long passes a telegraph post in 8 seconds. How long will it take to pass a platform 240 meters long?
A. 32 seconds
B. 20 seconds
C. 28 seconds
D. 24 seconds

Correct Answer: Option D


Explanation:
Speed of train = 120 / 8 = 15 m/s. Total distance to pass platform = 120 + 240 = 360 meters. Time taken = 360 / 15 = 24 seconds.

This question belongs to: Maths Time Speed and Distance