The speed of a motor-boat is that of the current of water as 36 : 5. The boat goes along with the current in 5 hours 10 minutes. It will come back in?Options5 hours 50 minutes6 hours 50 minutes12 hours 10 minutes6 hours
Question
The speed of a motor-boat is that of the current of water as 36 : 5. The boat goes along with the current in 5 hours 10 minutes. It will come back in?Options5 hours 50 minutes6 hours 50 minutes12 hours 10 minutes6 hours
Solution
The speed of the boat in still water is 36x and the speed of the current is 5x.
When the boat goes along with the current, the effective speed of the boat is (36x + 5x) = 41x.
The time taken to go along with the current is 5 hours 10 minutes = 310 minutes.
So, the distance covered = Speed * Time = 41x * 310 = 12710x.
Now, when the boat comes back against the current, the effective speed of the boat is (36x - 5x) = 31x.
Time = Distance / Speed = 12710x / 31x = 410 minutes = 6 hours 50 minutes.
So, the boat will come back in 6 hours 50 minutes.
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