Question

Speed of a Motorboat in still water is 75kmph. If the motorboat travels 150 km along the stream in 1 hour 40 minutes, then the time taken by it to cover the same distance against the stream will be?

A 1 hour 30 minutes Correct Answer Incorrect Answer
B 2 hour 20 minutes Correct Answer Incorrect Answer
C 2 hour 30 minutes Correct Answer Incorrect Answer
D 3 hours Correct Answer Incorrect Answer

Solution

Let the speed of the current be x kmph Rate Downstream = (x + 75) kmph According to the question : 150/(x+75) = 1 hour 40 minutes 150/(x+75) = 5/3 hours 450= 5x + 375 5 x = 450 – 375 X= 15 kmph Rate Upstream = 75 – 15 = 60 kmph Required time = 150/60 = 2 hours 30 minutes

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