Question

Ermias and Jeremiah both leave the bookstore at the same time, but in opposite directions. If Jeremiah travels 8 mph faster than Ermias and after 8 hours they are 240 miles apart, how fast is each traveling?

Answer 1

Jeremiah travels at 26.667 mi/hr and Ermias travels at 18.667 mi/hr.

Explanation:

Say Ermias' speed is 's' and Jeremiah's is 'v'

distance = rate * time

distance = ( v * time) + ( s * time)

v = s + 8

240mi = ( (s+8) * 8 ) + ( s + 8)

240 = (8s +64) + s + 8

240 = 9s + 72

240 - 72 = 9 s

168 = 9 s

18.6666667 = s

v = 18.6666667 + 8

v = 26.6666667