The Connecticut River flows at a rate of 5 km / hour for the length of a popular scenic route. If a cruiser to travels 3 hours with the current to reach a drop-off point, but the return trip against the same current took 8 hours. Find the speed of the boat without a current?
Answers
Answer:
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Given : The Connecticut River flows at a rate of 5 km / hour for the length of a popular scenic route.
A cruiser to travels 3 hours with the current to reach a drop-off point, but the return trip against the same current took 8 hours.
To Find : the speed of the boat without a current
Solution:
the speed of the boat without a current = x km/hr
Distance one side = d km
Speed with current = x + 5 km /hr
Speed against current = x - 5 km/hr
A cruiser to travels 3 hours with the current to reach a drop-off point,
=> d/(x + 5) = 3
=> d = 3x + 15
return trip against the same current took 8 hours.
=> d/(x - 5) = 8
=> d = 8x - 40
8x - 40 = 3x + 15
=> 5x = 55
=> x = 11
speed of the boat without a current = 11 km/hr
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