Word probloms haha

Question

okay so here it is:

a motor boat traveled 12 miles with the current, turned around, and returned 12 miles aganist thr current to its starting point. The trip down stream took 2 hours and the trip up stream was 3 hours. Find the speed of the boat and the speed of the current.

Varibles:

Equation 1: Equation 2:

thats the excat question lol

Answer 1

The motorboat travels x mph and the stream travels y mph.

When the boat travels with the current, it is moving faster, x+y mph total.

When the boat travels against the current, it is moving slower, x-y mph total.

The faster trip was 12 miles in 2 hours = 6mph = x+y

The slower trip was 12 miles in 3 hours = 4 mph = x-y

x+y=6

x=6-y

x-y=4

(6-y)-y=4

6-2y=4

2=2y

y=1 The current is moving at 1 mph.

x+y=6

x+1=6

x=5 The boat runs in still water at 5 mph.

Answer 2

12 = 2(b + c)

12 = 3(b - c)

Can you solve for either b or c and answer?