A driver accounts 1/4 of his total delivery distance at 25 km/h and the remaining 3/4 at 75 km/h. Find his average speed for the full delivery route. MCQ with Answer and Explanation
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Question #1
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A man can walk a certain distance in 6 hours and ride back in 2 hours. If he rides both ways, he will save 2 hours. How much time will he take if he walks both ways?
Correct Answer: Option A
Explanation:
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A boat crew rows 30 km upstream and 50 km downstream, taking exactly 5 hours for each independent passage. Find the speed of the current stream.
Correct Answer: Option C
Explanation:
Upstream speed = 30 / 5 = 6 km/h. Downstream speed = 50 / 5 = 10 km/h. Speed of current stream = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h.
Upstream speed = 30 / 5 = 6 km/h. Downstream speed = 50 / 5 = 10 km/h. Speed of current stream = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A high-speed train clears a stationary post column signal mast in 8 seconds and clears across the full station platform itself, which measures 240 meters long, in 20 seconds. Find the speed index of the train in km/h.
Correct Answer: Option A
Explanation:
Time taken to cross the platform span alone = 20 - 8 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.
Time taken to cross the platform span alone = 20 - 8 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
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