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Mars2501 [29]
4 years ago
6

A motorboat can maintain a constant speed of 13 miles per hour relative to the water. The boat makes a trip upstream to a certai

n point in 63 ​minutes; the return trip takes 15 minutes. What is the speed of the​ current?
Mathematics
1 answer:
lara [203]4 years ago
8 0

Answer:

  8 mph

Step-by-step explanation:

The speed in each direction is the speed of the boat with the speed of the current appropriately added. If x is the speed of the current, the upstream speed is 13-x; the downstream speed is 13+x.

The ratio of times is inversely proportional to the ratio of speeds, so we ahve ...

  15/63 = 5/21 = (13-x)/(13+x)

  5(13 +x) = 21(13 -x) . . . . . . . cross multiply

  26x = 13(21 -5) = 13·16

  x = 13·16/26 = 16/2 = 8

The speed of the current is 8 miles per hour.

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