Two standard vehicles depart a warehouse at the same instant at a right angle. Their speeds are 45 km/h and 60 km/h. Find the direct distance separating them after 20 minutes. MCQ with Answer and Explanation
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Question #1
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Excluding stoppages, the speed of a train is 80 km/h and including stoppages, it is 60 km/h. For how many minutes does the train stop per hour?
Correct Answer: Option B
Explanation:
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (80 - 60) / 80 = 20 / 80 = 1/4 hour. Converting to minutes = (1/4) * 60 = 15 minutes.
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (80 - 60) / 80 = 20 / 80 = 1/4 hour. Converting to minutes = (1/4) * 60 = 15 minutes.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A man covers 3/5 of his journey at 60 km/h, 1/4 of his journey at 40 km/h and the remaining journey at 20 km/h. Find his average speed for the whole transaction.
Correct Answer: Option D
Explanation:
Let total distance be 400 km. First part = 240 km; Time = 240/60 = 4 hours. Second part = 100 km; Time = 100/40 = 2.5 hours. Remaining distance = 400 - 240 - 100 = 60 km; Time = 60/20 = 3 hours. Total time = 4 + 2.5 + 3 = 9.5 hours. Average speed = 400 / 9.5 = 4000 / 95 = 46.15 km/h.
Let total distance be 400 km. First part = 240 km; Time = 240/60 = 4 hours. Second part = 100 km; Time = 100/40 = 2.5 hours. Remaining distance = 400 - 240 - 100 = 60 km; Time = 60/20 = 3 hours. Total time = 4 + 2.5 + 3 = 9.5 hours. Average speed = 400 / 9.5 = 4000 / 95 = 46.15 km/h.
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Maths
Time Speed and Distance
Question #3
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A person rows 18 km downstream in 2 hours and covers the same distance upstream in 6 hours. What is the speed of the boat in still water?
Correct Answer: Option D
Explanation:
Downstream speed = 18 / 2 = 9 km/h. Upstream speed = 18 / 6 = 3 km/h. Speed in still water = (9 + 3) / 2 = 6 km/h.
Downstream speed = 18 / 2 = 9 km/h. Upstream speed = 18 / 6 = 3 km/h. Speed in still water = (9 + 3) / 2 = 6 km/h.
This question belongs to:
Maths
Time Speed and Distance
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