Excluding stoppages, the speed of a train is 72 km/h and including stoppages it is 60 km/h. How many minutes does the train stop per hour? MCQ with Answer and Explanation
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Question #1
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A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns.
Correct Answer: Option A
Explanation:
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
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Maths
Time Speed and Distance
Question #2
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A driver covers 30% of his total route at 30 km/h and the remaining 70% at 42 km/h. What is his average speed for the full trip?
Correct Answer: Option B
Explanation:
Let total distance be 100 km. First section = 30 km; Time = 30 / 30 = 1 hour. Second section = 70 km; Time = 70 / 42 = 5/3 hours. Total time = 1 + 5/3 = 8/3 hours. Average speed = 100 / (8/3) = 300 / 8 = 37.5 km/h.
Let total distance be 100 km. First section = 30 km; Time = 30 / 30 = 1 hour. Second section = 70 km; Time = 70 / 42 = 5/3 hours. Total time = 1 + 5/3 = 8/3 hours. Average speed = 100 / (8/3) = 300 / 8 = 37.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat crew row a boat 36 km downstream in 4 hours and tracks the identical loop back upstream in 6 hours. Find the baseline speed of the boat in still water.
Correct Answer: Option A
Explanation:
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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