A cyclist travels at a speed of 12 km/h for the first 10 km and at a speed of 10 km/h for the next 12 km. Find his average speed for the entire trip. MCQ with Answer and Explanation

A cyclist travels at a speed of 12 km/h for the first 10 km and at a speed of 10 km/h for the next 12 km. Find his average speed for the entire trip.
A. 10.45 km/h
B. 11.24 km/h
C. 10.83 km/h
D. 11.00 km/h
Answer: Option C
Solution (By JKExamLibrary)
Total distance = 10 + 12 = 22 km. Total time taken = 10/12 + 12/10 = 5/6 + 6/5 = (25 + 36) / 30 = 61 / 30 hours. Average speed = 22 / (61/30) = 660 / 61 = 10.82 hours (approx 10.83 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 racing car covers a track lap of 5000 meters in 1 minute 40 seconds. Find its speed in km/h.
A. 220 km/h
B. 200 km/h
C. 180 km/h
D. 150 km/h

Correct Answer: Option C


Explanation:
Time = 1 minute 40 seconds = 100 seconds. Speed = 5000 / 100 = 50 m/s. In km/h = 50 * (18/5) = 180 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A person reaches his destination 40 minutes late if his speed is 3 km/h, and reaches 30 minutes early if his speed is 4 km/h. Find the distance to his destination.
A. 14 km
B. 16 km
C. 15 km
D. 12 km

Correct Answer: Option A


Explanation:
Time difference = 40 - (-30) = 70 minutes = 70 / 60 = 7/6 hours. Let distance be d. d/3 - d/4 = 7/6 => d/12 = 7/6 => d = 14 km.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A motorcycle travels from terminal A to B at 40 km/h and returns at 60 km/h. What is the average speed for the round journey?
A. 50 km/h
B. 48 km/h
C. 46 km/h
D. 52 km/h

Correct Answer: Option B


Explanation:
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

This question belongs to: Maths Time Speed and Distance