need help quick

Question

Jose went to the restaurant traveling 10 mph and returned home traveling 25 mph. If the total trip took 7 hours, how long did Jose travel at each speed?

Answer 1

distance = rate of speed x time traveled

d=rt

speed going = r1=10, speed coming back = r2=25

Let time going = T, Let time coming back = 7-T

then 10T = 25(7-T) as the distance is the same each way

solve for T

10T = 175 - 25T

35T = 175

T = 175/35 = 35/7= 5 hours going

7-T=7-5 = 2 hours coming back

5x50 = 250 miles

2x25= 250 miles coming back

grand total 500 miles traveled