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.
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.
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.
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