A ship sails 30km of a river towards upstream in 6 hours. How long will it take to cover the same distance downstream. If the speed of the current is (1/4) th of the speed of the boat in still water.
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Answer:
3.6 hours
Step-by-step explanation:
According to given problem,
A ship sails 30 km of a river towards upstream in 6 hours.
The speed of the current is (1/4)th of the speed of the boat in still water.
Let S denotes the speed (in km/hr) of the ship in still water.
Let T denotes the time (in hrs) which will be taken to cover the same distance downstream.
From above data we get following relations,
6*(S - S/4) = 30 … (1)
T*(S + S/4) = 30 … (2)
From (1) & (2) we get,
T*(S + S/4) = 6*(S - S/4)
or T*5*S/4 = 6*3*S/4 or T = 18/5 = 3.6 (hrs)
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