Wilbur left the hardware store and traveled toward the recyc

Wilbur left the hardware store and traveled toward the recycling plant at an average speed of 33 km/h. Mary left two hours later and traveled in the same direction but with an average speed of 55 km/h. How long did Wilbur travel before Mary caught up?

Solution

Lets assume after x hrs after Wilbur started, Mary caught up with Wilbur.

So, Distance travelled by Mary = Distance travelled by Wilbur

55(x -2) = 33x

5(x-2) = 3x

2x = 10

x = 5 hr

So, distance travelled by Wilbur = 5*33 = 165 km