rohan2345 wrote:
Richard leaves to visit his friend who lives 200 miles down Interstate 10. One hour later his friend Steve leaves to visit Richard via Interstate 10. If Richard drives at 60 mph and Steve drives at 40 mph, how many miles will Steve have driven when they cross paths?
(A) 56
(B) 58
(C) 60
(D) 65
(E) 80
Richard (
R) drives one hour at 60 m/h, hence for 60 miles ---> Distance from R to Steve (
S) when S leaves the house: 140 miles.
Ratio R/S: 60/40 = 3/2. S drives 2/5 of the remaining distance (140 miles), therefore 140 x 2/5 = 56 miles.