Question
The ratio of the speed of boat in upstream to speed of
boat in downstream is 7:9. If the boat can cover a total of 119 km upstream and 162 km downstream in 7 hours, then find the time taken by the boat to cover 180 km in still water.Solution
Let speed of boat in upstream and downstream be ‘7x’ km/h and ‘9x’ km/h respectively. 119/7x + 162/9x = 7 17/x + 18/x = 7 35 = 7x x = 5 Speed of boat in still water = (7x + 9x)/2 = 8x = 8 × 5 = 40 km/h Desired time = 180/40 = 4.5 hours
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