Question 1056358
JENNY DROVE TO DALLAS AND MARY DROVE TO HOUSTON,IN THE SAME AMOUNT OF TIME./
 JENNY DROVE 225 MILES AND MARY DROVE 175 MI,ES
 JENNY TRAVELED 12 MILES PER HOUR FASTER THaN MARY ON THE TRIP
 WHAT WAS THE AVERAGE SPEED IN MILES PER HOUR FOR EACH WOMAN
:
Let s = Mary's speed
then
(s+12) = Jenny's speed
:
Write a time equation; time = dist/speed
{{{225/((s+12))}}} = {{{175/s}}}
Cross multiply
225s = 175(s+12)
225s = 175s + 2100
225s - 175s = 2100
50s = 2100
s = 2100/50
s = 42 mph is Mary's speed
:
You can find Jenny's speed, check and see if their times are equal