The river is 500 miles long. it took the canoe group 5 hours to travel down river and 10 hours to paddle back up river. how fast were they paddling? how fast was the current?

Boat speed = 75 miles/ h

Current speed = 25 miles/ h

Step-by-step explanation:

Remember that:

Where

s is the speed

d is the distance

t is the time.

If we call s the speed of the boat and we call c the speed of the current, then we have to:

Boat speed downstream (Boat speed in the same direction as river speed):

Where:

Boat speed upstream (Boat speed in the opposite direction than the river speed):

Where:

Then we have the following system of equations:

          (1)

              (2)

Add equation (1) with equation (2) and solve for s:

Now substitute s in equation (2) and solve for c

Finally

Boat speed = 75 miles/ h

River speed = 25 miles/ h

25

step-by-step explanation:

d i think

step-by-step explanation: