In a 500-meter race, the ratio of speeds of two runners A and B is 3:4. A has a start of 140 meters. Who wins the race and by how many meters? MCQ with Answer and Explanation

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In a 500-meter race, the ratio of speeds of two runners A and B is 3:4. A has a start of 140 meters. Who wins the race and by how many meters?

A. B wins by 20m

B. A wins by 20m

C. A wins by 40m

D. B wins by 40m

Answer: Option B

Solution (By JKExamLibrary)

Distance for A to run = 500 - 140 = 360 meters. Ratio of speeds A:B = 3:4. Time taken by A to run 360m is proportional to 360 / 3 = 120 units. In the same time, B runs 4 * 120 = 480 meters. B needs 500m to win but only reaches 480m. Thus, A wins, and B is 500 - 480 = 20 meters behind. A wins by 20 meters.

This question belongs to: Maths Time Speed and Distance

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Question #1 Report Error

A man walks from his residence to a focal point at 4 km/h and arrives 10 minutes late. If he increases his speed to 5 km/h, he arrives 2 minutes early. Find the distance.

A. 4.5 km

B. 3.5 km

C. 4.0 km

D. 5.0 km

View Answer & Solution Discuss

Correct Answer: Option C

Explanation:
Time difference = 10 - (-2) = 12 minutes = 12/60 = 0.2 hours. Let distance be d. d / 4 - d / 5 = 0.2 => d / 20 = 0.2 => d = 4 km.

This question belongs to: Maths Time Speed and Distance