Aboat has a speed of 15 mph in calm water. it takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. which equation can be used to find c, the speed of the current? 3(15 – c) = 2(15 + c) 2(15 – c) = 3(15 + c) 15 – c = 15 + c 15 – 3c = 15 + 2c

Step-by-step explanation:

Given: A boat has a speed in calm water= 15 mph

Time takes the boat  to travel upstream = 3 hours

Time takes the boat  to travel downstream = 2 hours

Let the speed of current represented by c.

Now, upstream speed = 15-c

Downstream speed = 15+c

We know that

Thus, distance covered downstream =

Distance covered downstream =

If they travel the same distance upstream and downstream, then we have  following equation,