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. 130 meters
B. 126 meters
C. 134 meters
D. 122 meters
Answer: Option B
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A train 120 meters long passes a track worker walking at 6 km/h in the same direction in 12 seconds. What is the actual speed of the train?
A. 45 km/h
B. 42 km/h
C. 48 km/h
D. 38 km/h

Correct Answer: Option B


Explanation:
Relative speed = 120 / 12 = 10 m/s = 10 * (18/5) = 36 km/h. Since they move in the same direction, Relative Speed = Speed of train - Speed of worker => 36 = Speed of train - 6 => Speed of train = 42 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A train passes a static milepost in exactly 7 seconds. If the speed of the train is 72 km/h, find the absolute length of the train.
A. 180 meters
B. 120 meters
C. 160 meters
D. 140 meters

Correct Answer: Option D


Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Length of train = Speed * Time = 20 * 7 = 140 meters.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Walking at 8/9 of his normal speed, an analyst reaches his designated terminal 12 minutes late. Find his usual time to reach the terminal.
A. 96 minutes
B. 84 minutes
C. 104 minutes
D. 112 minutes

Correct Answer: Option A


Explanation:
New speed = 8/9 of usual speed => New time = 9/8 of usual time. Difference = 1/8 of usual time = 12 minutes. Usual time = 12 * 8 = 96 minutes.

This question belongs to: Maths Time Speed and Distance