A person has to cover a distance of 160 km. He covers the first half of the distance at 40 km/h. At what speed must he travel the remaining half to make the average speed for the whole journey 50 km/h? MCQ with Answer and Explanation

A person has to cover a distance of 160 km. He covers the first half of the distance at 40 km/h. At what speed must he travel the remaining half to make the average speed for the whole journey 50 km/h?
A. 70 km/h
B. 75 km/h
C. 66.67 km/h
D. 60 km/h
Answer: Option C
Solution (By JKExamLibrary)
Let the required speed for the second half be x km/h. Using the average speed formula for equal halves: Average Speed = 2v1*v2 / (v1 + v2) => 50 = (2 * 40 * x) / (40 + x) => 50(40 + x) = 80x => 2000 + 50x = 80x => 30x = 2000 => x = 66.67 km/h.

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 boat crew rows 32 km downstream in 2 hours and handles 16 km upstream in 2 hours flat. Find the speed index of the stream current flow.
A. 5.0 km/h
B. 4.0 km/h
C. 3.5 km/h
D. 4.5 km/h

Correct Answer: Option B


Explanation:
Downstream speed = 32 / 2 = 16 km/h. Upstream speed = 16 / 2 = 8 km/h. Speed of current stream flow = (16 - 8) / 2 = 8 / 2 = 4 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
Two trains 120 meters and 130 meters long are running in opposite directions at speeds of 45 km/h and 45 km/h respectively. In what time will they cross each other?
A. 12 seconds
B. 11 seconds
C. 9 seconds
D. 10 seconds

Correct Answer: Option D


Explanation:
Total distance = 120 + 130 = 250 meters. Relative speed in opposite directions = 45 + 45 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A acoustic sensor records a sound wave. If the echo of the pulse reflects from an obstacle after 3 seconds, find the distance of the obstacle from the origin given the speed of sound is 340 m/s.
A. 510 meters
B. 480 meters
C. 1020 meters
D. 960 meters

Correct Answer: Option A


Explanation:
Total path distance covered by the wave = 340 * 3 = 1020 meters. Distance to the obstacle = 1020 / 2 = 510 meters.

This question belongs to: Maths Time Speed and Distance