A man covers 1/3 of his total journey at 30 km/h and the remaining 2/3 at 60 km/h. Find his average speed for the entire journey. MCQ with Answer and Explanation
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Question #1
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Excluding stoppages, the speed of an express train is 60 km/h and including stoppages it is 48 km/h. For how many minutes does the train stop per hour?
Correct Answer: Option A
Explanation:
Stoppage time per hour = (60 - 48) / 60 = 12 / 60 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.
Stoppage time per hour = (60 - 48) / 60 = 12 / 60 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A car covers a certain distance in 8 hours at a speed of 50 km/h. What should be its speed to cover the same distance in 5 hours?
Correct Answer: Option B
Explanation:
Distance = 50 * 8 = 400 km. Required Speed = 400 / 5 = 80 km/h.
Distance = 50 * 8 = 400 km. Required Speed = 400 / 5 = 80 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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Two locomotive train units 150 meters and 100 meters long are running along parallel track loops in identical directions at speeds of 56 km/h and 46 km/h respectively. In what timeframe will the faster train clear the slower train completely?
Correct Answer: Option C
Explanation:
Total path distance = 150 + 100 = 250 meters. Relative speed index in same direction = 56 - 46 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 90 seconds.
Total path distance = 150 + 100 = 250 meters. Relative speed index in same direction = 56 - 46 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 90 seconds.
This question belongs to:
Maths
Time Speed and Distance
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