Question
A boat can travel 16 km more in downstream than that in upstream, in 8 hours while the difference between the time taken by the same boat to travel 170 km and 120 km, in still water, is 5 hours. Find the approximate time taken by the boat to travel 300 km in downstream and 150 km in upstream.
Solution
Let the speed of boat in still water and speed of stream be 'x' km/hr and 'y' km/hr, respectively. According to question; (170/x) - (120/x) = 5 Or, (50/x) = 5 So, x = 10 Now, 8 x (10 + y) = 8 x (10 - y) + 16 Or, 80 + 8y = 80 - 8y + 16 Or, 16y = 16 So, y = 1 So, downstream speed of the boat = (10 + 1) = 11 km/hr And, upstream speed of the boat = (10 - 1) = 9 km/hr Required time taken = (300/11) + (150/9) ~ (27 + 17) ~ 44 hours
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