cheyennegenevie9788 cheyennegenevie9788
  • 02-10-2019
  • Mathematics
contestada

A motor boat travels 60 miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in still water and the rate of the current.

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sqdancefan
sqdancefan sqdancefan
  • 03-10-2019

Answer:

  • boat: 16 mph
  • current: 4 mph

Step-by-step explanation:

  speed = distance / time

The rate downriver is (60 mi)/(3 h) = 20 mi/h.

The rate upriver is (60 mi)/(5 h) = 12 mi/h.

The rate of the boat in still water is the average of these:

  (20 +12)/2 mi/h = 16 mi/h

The rate of the current is the difference between the boat speed and actual speed:

  16 mi/h - 12 mi/h = 4 mi/h

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