Asif123 wrote:

Jeff drove to work from his home averaging 40 miles per hour, and was 12 minutes late. The next day he left home for work at the same time, took the same route, averaging 48 miles per hour, and was 7 minutes late. How far in miles is it from Jeff’s home to his work? (A) 20.0 (B) 24.5 (C) 30.0 (D) 37.5 (E) 40.0

Speed * Time = Distance

Since Jeff drives the same distance in both cases we get:

40(t + 12/60) = 48 (t + 7/60)

From this, we get t as 18 minutes.

Substituting this as t in the distance equation for the first day: 40(18/60 + 12/60). The distance from work is 40*(30/60) = 20