One car went 10 miles farther when traveling at 50 mph than a second car that traveled 2 hours longer at a speed of 40 mph. How long did the first car travel?

Answer 1

time for first car --- t hours
time for 2nd car ------ t+2 hrs

distance covered by first car = 55t miles
distance covered by 2nd car = 40(t+2)

50t - 40(t+2) = 10
50t - 40t - 80 = 10
10t = 90
t = 9

the first car went for 9 hrs,
and the second went 11 hrs.

check:
distance covered by 1st car
= 9(50) = 450 miles
distance covered by 2nd car
= 11(40) = 440 miles

did the first go 10 miles farther?
YES
my answer is correct