In a 1000m dash, competitor M beats B by 80 meters, and B beats C by 50 meters. Assuming uniform velocities, by how many meters does M beat C in that same race? MCQ with Answer and Explanation

In a 1000m dash, competitor M beats B by 80 meters, and B beats C by 50 meters. Assuming uniform velocities, by how many meters does M beat C in that same race?
A. 126 meters
B. 122 meters
C. 130 meters
D. 134 meters
Answer: Option A
Solution (By JKSSB Mock Tests)
When M runs 1000m, B runs 920m. When B runs 1000m, C runs 950m. When B runs 920m, C runs 950 * (920/1000) = 95 * 9.2 = 874m. Therefore, M beats C by 1000 - 874 = 126 meters.

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Practice More Time Speed and Distance Questions

Question #1
A train running at the speed of 60 km/h crosses a pole in 9 seconds. What is the length of the train?
A. 120 meters
B. 150 meters
C. 180 meters
D. 200 meters

Correct Answer: Option B


Explanation:
Speed = 60 * (5/18) = 50/3 m/s. Length = Speed * Time = (50/3) * 9 = 150 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
Two trains 110 meters and 90 meters long are running in opposite directions at speeds of 36 km/h and 54 km/h respectively. In what time will they pass each other completely?
A. 6 seconds
B. 8 seconds
C. 12 seconds
D. 10 seconds

Correct Answer: Option B


Explanation:
Total distance = 110 + 90 = 200 meters. Relative speed in opposite directions = 36 + 54 = 90 km/h = 90 * (5/18) = 25 m/s. Time taken = 200 / 25 = 8 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3
Two cars A and B leave an intersection simultaneously. A travels North at 45 km/h and B travels East at 60 km/h. Find the direct distance between them after 1 hour.
A. 75 km
B. 70 km
C. 85 km
D. 80 km

Correct Answer: Option A


Explanation:
In 1 hour, distance covered by A = 45 km, and by B = 60 km. Direct distance = sqrt(45^2 + 60^2) = sqrt(2025 + 3600) = sqrt(5625) = 75 km.

This question belongs to: Maths Time Speed and Distance