bschool83 wrote:

Track X is 13 miles ahead of Truck Y, which is travelling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X?

Let the time taken by truck Y to overtake truck X by 5 kms be Z hrs. Now according to question, truck Y is 13 miles behind truck x and after Z hrs it overtakes truck truck X by 5 miles. so in z hrs truck Y will have traveled 18 miles more than truck x. so,

47Z +18 = 53Z

18 =6Z , thus Z = 3 hrs.

so truck Y will take 3 hrs to overtake truck X by 5 miles.