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The ratio of speed of a boat in downstream to upstream is 5 : 3 and total time taken by boat to cover 30 km distance in upstream is 5 hours. Find time taken by boat to cover 40 km in downstream.
4 hours
6 hours
8 hours
2 hours
3 hours
Let speed of boat in still water and speed of stream be x km/hr and y km/hr respectively 3x + 3y = 5x – 5y 2x = 8y x : y = 4 : 1 ATQ Let speed of boat in still water = 4s km/hr And speed of stream = s km/hr 30/3s = 5 s = 2 km/hr Required time = 40/(5×2) = 4 hours Alternate method
Upstream speed of boat= 30/5=6km/hr 3x=6=> x=2 Downstream speed= 5x= 5×2= 10km /hr Time taken by boat in downstream= 40/10=4 hrs.
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