A courier covers 40 km of his shift route at 20 km/h and the remaining 60 km at 30 km/h. Find his average speed across the whole shift. MCQ with Answer and Explanation
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Question #1
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A boat can row 10 km/h in still water. If the river velocity is 2 km/h, find the distance covered downstream by the boat in 30 minutes.
Correct Answer: Option A
Explanation:
Downstream speed = 10 + 2 = 12 km/h. Time = 30 minutes = 0.5 hour. Distance covered = Speed * Time = 12 * 0.5 = 6 km.
Downstream speed = 10 + 2 = 12 km/h. Time = 30 minutes = 0.5 hour. Distance covered = Speed * Time = 12 * 0.5 = 6 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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Two trains 150 meters and 100 meters long are running along parallel tracks in the same direction at speeds of 56 km/h and 46 km/h respectively. In what time will the faster train cross the slower train completely?
Correct Answer: Option A
Explanation:
Total distance = 150 + 100 = 250 meters. Relative speed 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 distance = 150 + 100 = 250 meters. Relative speed 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
Question #3
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A train 120 meters long passes an active crossing signal point in 6 seconds flat. Find the time interval needed to clear a station platform 240 meters long.
Correct Answer: Option B
Explanation:
Speed of train = 120 / 6 = 20 m/s. Total distance to clear platform = 120 + 240 = 360 meters. Time required = 360 / 20 = 18 seconds.
Speed of train = 120 / 6 = 20 m/s. Total distance to clear platform = 120 + 240 = 360 meters. Time required = 360 / 20 = 18 seconds.
This question belongs to:
Maths
Time Speed and Distance
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