A truck\'s varying distance from the warehouse, d, measured in miles is modeled

Question

A truck's varying distance from the warehouse, d, measured in miles is modeled by the formula d=t2+55t where t is the varying number of hours since the truck left the warehouse. The truck's destination is 442.75 miles away.

a. How many hours will it take the truck to reach its destination?

b. A car left the warehouse at the same time as the truck and wants to get to the destination at the same time. What constant speed would the car have to travel in order to reach the destination at the same time as the truck?

Explanation / Answer

a) PUt d = 442.75

442.75 = t ^2+55t

t = 7.13 hours (rounded to two decimal places)

b) Constant speed = 442.75/7.13

=62.10 miles/hour

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