Question
The speed of a boat in still water is 10.5 times the speed of the stream. If the difference between the upstream and downstream speed of the boats is 26 km/hr, then find the time taken by the boat to travel 494 km in upstream.
Solution
Let the speed of the stream be ‘x’ km/hr Therefore, speed of the boat in still water = 10.5x km/hr Upstream speed of the boat = 10.5x – x = 9.5x km/hr Downstream speed of the boat = x + 10.5x = 11.5x km/hr According to the question, 11.5x – 9.5x = 26 => 2x = 26 => x = 13 Therefore, upstream speed of the boat = 9.5x = 123.5 km/hr Required time taken = 494/123.5 = 4 hours
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