A car climbs a mountain path 12 km long at 4 km/h and descends the same distance at 12 km/h. Find the average speed for the round journey. MCQ with Answer and Explanation

A car climbs a mountain path 12 km long at 4 km/h and descends the same distance at 12 km/h. Find the average speed for the round journey.
A. 6 km/h
B. 5 km/h
C. 7 km/h
D. 8 km/h
Answer: Option A
Solution (By JKSSB Mock Tests)
Average Speed = 2xy / (x + y) = (2 * 4 * 12) / (4 + 12) = 96 / 16 = 6 km/h.

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Practice More Time Speed and Distance Questions

Question #1
A train running at 36 km/h takes 12 seconds to cross a platform. Next, it takes 6 seconds to pass a telegraph post. Find the length of the platform.
A. 60 meters
B. 70 meters
C. 80 meters
D. 50 meters

Correct Answer: Option A


Explanation:
Speed of train = 36 * (5/18) = 10 m/s. Length of train = Speed * Time to cross post = 10 * 6 = 60 meters. Total distance to cross platform = Speed * Time = 10 * 12 = 120 meters. Platform length = 120 - 60 = 60 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A man rides a bicycle at 12 km/h from his house to his school and reaches 5 minutes late. Next day he increases his speed to 15 km/h and reaches 5 minutes early. Find the distance between his house and school.
A. 8 km
B. 15 km
C. 10 km
D. 12 km

Correct Answer: Option C


Explanation:
Time difference = 5 - (-5) = 10 minutes = 1/6 hour. Let distance be d. d/12 - d/15 = 1/6 => (5d - 4d)/60 = 1/6 => d/60 = 1/6 => d = 10 km.

This question belongs to: Maths Time Speed and Distance
Question #3
Two locomotive train units 140 meters and 110 meters long are running along parallel track loops in identical directions at speeds of 52 km/h and 42 km/h respectively. In what timeframe will the faster train clear the slower train completely?
A. 100 seconds
B. 90 seconds
C. 110 seconds
D. 80 seconds

Correct Answer: Option B


Explanation:
Total path distance = 140 + 110 = 250 meters. Relative speed index in same direction = 52 - 42 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 10 * 9 = 90 seconds.

This question belongs to: Maths Time Speed and Distance