Question

A boat has a speed of 5mph in calm water. It takes the boat 3 hours to travel upstream it only 2 hours to travel the same distance downstream. What is the value of c. The speed of the current?

Will medal for best answer.

Answer 1

2(5+c)=3(5-c)
solve for c
10+2c=15-3c
5c=5
c=1

Answer 2

Thank you:)

Answer 3

Do you understand how he did that?

We know that the distance is the same. So we find
d=vt for upstream and downstream

when going downstream the current will help the velocity so you add c to the velocity

when going upstream the current will work against the velocity of the boat, so you subtract c from the velocity

then you just set the equations equal to each other (because the distance is the same for both of them) and then solve for c

Answer 4

Yep :) I redid it and checked it to make sure.