SOLUTION: If you average 30mi/h, a drive between two cities will take 2 hours longer than if you average 35mi/h. How far apart are the two cities?

Question 167839: If you average 30mi/h, a drive between two cities will take 2 hours longer than if you average 35mi/h. How far apart are the two cities?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
If you average 30mi/h, a drive between two cities will take 2 hours longer than if you average 35mi/h. How far apart are the two cities?
.
You will be applying the distance formula:
d = rt
where
d is distance
r is rate
t is time
.
Let x = time it takes to drive at 35 mph
30(x+2) = 35x
30x + 60 = 35x
60 = 5x
12 hours = x
.
Now, we know that if we were driving at 35 mph, the time it takes to drive between the two cities is 12 hours.
Converting that into distance:
d = rt
d = 35(12)
d = 420 miles
RELATED QUESTIONS
The distance between two cities is 1300 km. How long will it take, in h, to drive from... (answered by josgarithmetic)

The distance between two cities is 1300 km. How long will it take, in h, to drive from... (answered by ewatrrr)

The distance between two cities is 2200 km. How long will it take, in h, to drive from... (answered by Boreal)

If you drive an average of 46 mi/h, how long will it take you to drive 138... (answered by Alan3354)

the time t that it takes to get to school varies inversely with your average speed v.... (answered by nyc_function)

Suppose you average 52 mi/h traveling on the highway. If you drive for 5 hours, how far... (answered by nerdybill)

A planes average speed between tow cities is 600km/h. If the trip takes 2.5 hours, how... (answered by richwmiller)

The rail line between two cities consists of two segments, one 96 km longer than the... (answered by ankor@dixie-net.com)

Two cities are 308 miles apart. How long will it take to drive if you go 90 kilometers... (answered by Purple mathematician )