Math word problem i need help

Question

Emma rode 8 times as fast as Emily. In fact, she rode 48 kilometers in 4 hours less than it took Emily to ride 36 miles. How fast did each of them ride? How long did they ride?

Answer 1

Hello Waker.

Lets say speed of Emma; 8v

speed of Emily; v

the equation should be;

48/8v +4 = 36/v. (cancel v)

48/8 +4v = 36

6 +4v = 36

4v = 30

v = 7.5. (Emily 7.5 km per h)

then Emma 8*7.5 = 60 km per h.

36/7.5 = 4.8 hours

hope that helps