plz help with this

Question

3.)A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip

back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?

Answer 1

Answer 2

Let b be the speed of the boat and w be the speed of the water current.

12b + 12w = 336

14b - 14w = 336 --> b = (336+14w)/14 = 24+w

Substitute for b into the first equation

12(24+w) + 12w = 336

288 + 12w + 12w = 336

24w = 48

w = 2

b = 24+2 = 26

The boat speed is 26 mph and the water current speed is 2 mph.

Answer 3

rate * time = distance

downstream:

(rate + current) * 12 = 336

rate + current = 28

upstream:

(rate - current) * 14 = 336

rate - current = 24

add two equations

2*rate = 52

rate = 26

rate - current = 24

26 - current = 24

-current = -2

current = 2