Question

A ship traveled for a total of 147 miles over the course of 8 hours. Heading south, the ship traveled at an average speed of 15 miles per hour, and heading east, it traveled at an average speed of 24 miles per hour. For how many hours was the ship heading south?

Answer 1

Alright

s=number of hours headd south
e=number of hours headed east

s+e=8

and
total is 147 miles
distance=speed times time
15s+24e=147


we got 2 equations


s+e=8
15s+24e=147
subsitution

s+e=8
minus e both sides
s=8-e
subsitut 8-e for s in other equaton

15s+24e=147
15(8-e)+24e=147
120-15e+24e=147
120+9e=147
minus 120 both sides
9e=27
divide both isdes by 9
e=3

sub back
s=8-e
s=8-3
s=5

it was headed south 5 miles