A car covers a distance of 100 km at 40 km/h and another 150 km at 50 km/h. Find the average speed for the complete trip. MCQ with Answer and Explanation

Question

A car covers a distance of 100 km at 40 km/h and another 150 km at 50 km/h. Find the average speed for the complete trip.

A. 48.0 km/h

B. 45.45 km/h

C. 44.2 km/h

D. 46.5 km/h

Answer: Option B

Solution (By JKExamLibrary)

Total distance = 100 + 150 = 250 km. Time 1 = 100 / 40 = 2.5 hours. Time 2 = 150 / 50 = 3 hours. Total time = 5.5 hours. Average speed = 250 / 5.5 = 45.45 km/h.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A train running at the speed of 60 km/h crosses a pole in 9 seconds. What is the length of the train?

A. 180 meters

B. 120 meters

C. 150 meters

D. 200 meters

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Correct Answer: Option C

Explanation:
Speed = 60 * (5/18) = 50/3 m/s. Length = Speed * Time = (50/3) * 9 = 150 meters.

This question belongs to: Maths Time Speed and Distance

Question #2

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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

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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