The speed indices of two sprinters are in the ratio 3 : 4. If the first sprinter requires 24 seconds to wrap up a bend, how much time does the second sprinter require? MCQ with Answer and Explanation

The speed indices of two sprinters are in the ratio 3 : 4. If the first sprinter requires 24 seconds to wrap up a bend, how much time does the second sprinter require?
A. 18 seconds
B. 16 seconds
C. 22 seconds
D. 20 seconds
Answer: Option A
Solution (By JKExamLibrary)
Ratio of speeds = 3:4, so ratio of times required = 4:3. Given 4 parts = 24 seconds => 1 part = 6 seconds. Time for the second sprinter = 3 parts = 3 * 6 = 18 seconds.

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 commuter sets a pace of 4 km/h and reaches his branch office 10 minutes late. If he increases his pace to 6 km/h, he still reaches 2 minutes late. Find the distance.
A. 2.0 km
B. 1.4 km
C. 1.8 km
D. 1.6 km

Correct Answer: Option D


Explanation:
Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hours. Let distance be d. d/4 - d/6 = 2/15 => d/12 = 2/15 => d = 24/15 = 1.6 km.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A boat can row 12 km/h in still water. If the river current flows at 4 km/h, find the time taken by the boat to row 48 km upstream.
A. 8 hours
B. 10 hours
C. 4 hours
D. 6 hours

Correct Answer: Option D


Explanation:
Upstream speed = 12 - 4 = 8 km/h. Time taken = Distance / Upstream Speed = 48 / 8 = 6 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A passenger train 100 meters long clears a line worker tracking on the ballast track in 5 seconds flat when both move along the identical direction. If the line worker walks at 8 km/h, find the train speed.
A. 88 km/h
B. 84 km/h
C. 80 km/h
D. 76 km/h

Correct Answer: Option C


Explanation:
Relative tracking speed = 100 / 5 = 20 m/s = 20 * (18/5) = 72 km/h. In identical directions, Relative Speed = Speed of train - Speed of worker => 72 = Speed of train - 8 => Speed of train = 80 km/h.

This question belongs to: Maths Time Speed and Distance