A truck driver has a shipment of apples to deliver to a destination 550 miles aw

Question

A truck driver has a shipment of apples to deliver to a destination 550 miles away. The trip usually takes him 10.0 hours. Today he finds himself daydreaming and realizes 120 miles into his trip that that he is running 30.0 minutes later than his usual pace at this point. If the driver still wishes to complete the trip in 10.0 hours, how fast must he drive for the rest of the trip? (In all questions, you may assume that the truck moves with a constant speed.)

At what speed must he drive for the remainder of the trip to complete the trip in the usual amount of time? Express your answer using three significant figures.

Explanation / Answer

Vusual = usual speed = distance traveleed /time taken = 550/10 = 55 mph

t = time taken to travel 120 miles at usual pace = 120/55 = 2.2 h

while daydreaming :

Dr = distance remaining = 550 - 120 = 430

t' = time remaining = 10 - 2.2 - 0.5 = 7.3

Vrequired = required speed to cover the distance in 10 h = Dr/t' = 430/7.3 = 58.9 mph

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