a boat takes 0.5 hours more to travel a distance of 45 km upstream then to travel the same distance downstream If the speed of the boat in still water is
4 times the speed of the stream, then in what time it will cover a distance of 72 km downstream
Answers
I think the answer is 132
Given : a boat takes 0.5 hours more to travel a distance of 45 km upstream then to travel the same distance downstream
the speed of the boat in still water is 4 times the speed of the stream,
To Find : what time it will take to cover a distance of 72 km downstream
Solution:
Speed of stream = S km/hr
Speed of Boat in Still water = 4S km/hr
Speed of Boat upstream = 4S - S = 3S km/hr
Speed of Boat downstream = 4S + S = 5S km/hr
Time taken for 45 km for upstream ad down stream
45/3S = 15/S and 45/5S = 9/S
15/S - 9/S = 0.5
=> 6/S = 0.5
=> S = 12
Speed of Boat downstream = 5 * 12 = 60 km/hr
Distance = 72 km
Time taken == 72/60 = 1.2 hrs
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