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JulsSmile [24]
3 years ago
9

A boat travels upstream for 48 miles in 3 hours and returns in 2 hours traveling downstream in a river. What is the rate of the

boat in still water and the rate of the current.
Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer:

20 mph and 4 mph

Step-by-step explanation:

GIVEN: A boat travels upstream for 48 miles in 3 hours and returns in 2 hours traveling downstream in a river.

TO FIND: What is the rate of the boat in still water and the rate of the current.

SOLUTION:

Let the speed of boat in still water be s and speed of current be a.

\therefore speed of water in upstream =s+a

  speed of water in downstream =s-a

As  speed=\frac{distance}{time}

s+a=\frac{48}{3}=16

s-a=\frac{48}{2}=24

Solving both we get

s=20\text{ mph}

a=4\text{ mph}

Hence speed of boat in still water and rate of current is 20mph and 4mph respectively.

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