The speed of a boat in still water is 30 km/hr. If the boat covers 240 km in upstream in 12 hours, then find the time taken by the boat to travel 140 km in downstream.
Let the speed of the boat in still water and the speed of the current be ‘x’ km/hr and ‘y’ km/hr, respectively Upstream speed of the boat = (x – y) = 240/12 = 20 km/hr Or, 30 – y = 20 Or, y = 30 – 20 = 10 km/hr Therefore, downstream speed of the boat = 30 + 10 = 40 km/hr Required time taken = 140/40 = 3.5 hours
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(a) ...