Question

Two boats X and Y start towards each other from two places, 76 km apart. Speed of the boat X and Y in still water are 8 km/hr and 11 km/hr respectively. If X proceeds down and Y up the stream, they will meet after.

A 4 hours Correct Answer Incorrect Answer
B 5 hours Correct Answer Incorrect Answer
C 6 hours Correct Answer Incorrect Answer
D 7 hours Correct Answer Incorrect Answer

Solution

Let the speed of the stream be x km/hr and both the boats meet after t hours According to the question, ⇒ (8 + x) t + (11 – x) t = 76 ⇒ 8t + 11t = 76 ⇒ 19t = 76 ⇒ t = 76/19 = 4 hours

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