Question

Sophie drove 225 mi south through the Smoky Mountains. Snow during her return trip made her average speed on the return trip 30 mph slower. The total driving time was 8 hr. Find Sophie’s average sped on each part of the trip.

Answer 1

Let r be the speed to the Smoky Mountains.
r t = d, t = d/r
Solve the following for r:\[\frac{225}{r}+\frac{225}{r-30}=8 \]r = 45/4 mph or 75 mph .\[\frac{225}{r}+\frac{225}{r}=8 \]With no delay:
r = 56.25 mph
The initial speed had to be greater than 56.25 mph when there was a delay.
Therefore r has to be 75mph on the trip to the Mountains and 45 mph on the return.

Answer 2

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Answer 3

Your welcome.

Answer 4

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Answer 5

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Answer 6

your welcome