A private van covers 1/3 of a route corridor path at 10 km/h, 1/3 at 20 km/h and the final 1/3 segment sector at 60 km/h. Find the mean average speed. MCQ with Answer and Explanation
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Question #1
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Excluding stoppages, a bus travels at 54 km/h and including stoppages it travels at 45 km/h. How many minutes does the bus stop per hour?
Correct Answer: Option C
Explanation:
Stoppage time per hour = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
Stoppage time per hour = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A thief escapes at 2:00 PM at a speed of 40 km/h. The owner follows him at 3:30 PM at a speed of 50 km/h. At what time will the owner catch the thief?
Correct Answer: Option C
Explanation:
By 3:30 PM, the thief has run for 1.5 hours and covered 40 * 1.5 = 60 km. Relative speed = 50 - 40 = 10 km/h. Time taken to catch = 60 / 10 = 6 hours. Catching time = 3:30 PM + 6 hours = 9:30 PM.
By 3:30 PM, the thief has run for 1.5 hours and covered 40 * 1.5 = 60 km. Relative speed = 50 - 40 = 10 km/h. Time taken to catch = 60 / 10 = 6 hours. Catching time = 3:30 PM + 6 hours = 9:30 PM.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A person walks from his home to his office at 3 km/h and reaches 15 minutes late. If he walks at 4 km/h, he reaches 5 minutes late. Find the distance.
Correct Answer: Option C
Explanation:
Time difference = 15 - 5 = 10 minutes = 10/60 = 1/6 hour. Let distance be d. d / 3 - d / 4 = 1/6 => d / 12 = 1/6 => d = 2 km.
Time difference = 15 - 5 = 10 minutes = 10/60 = 1/6 hour. Let distance be d. d / 3 - d / 4 = 1/6 => d / 12 = 1/6 => d = 2 km.
This question belongs to:
Maths
Time Speed and Distance
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