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zmey [24]
3 years ago
13

A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distanc

e. Find the rate of the motorboat in calm water.
Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Let x be the speed of the motorboat and y be the speed of the current.

Then, for downstream, the speed is x + y.

Now, speed = distance/time.

Distance = 80 miles.

Time for downstream = 4 hours.

So, x + y = 80/4 = 20     (1)

Against the current, that is for upstream, the speed is x - y.

Time for upstream = 5 hours.

x - y = 80/5 = 16     (2)

Adding (1) and (2), we get,

2x = 36

x = 18

Hence, rate of the motorboat in calm water = 18 miles/hour.

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