SOLUTION: A car travels 147 miles in 3 hours. It was driven at 24 mph in the city and 54 mph in the country. Find the number of hours that the car was driven at each rate.

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Question 524698: A car travels 147 miles in 3 hours. It was driven at 24 mph in the city and 54 mph in the country. Find the number of hours that the car was driven at each rate.
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
City time + country time = 3 hours
t=d/r
D(city)=x
speed = 24
D(country)=(147-x)
speed = 54
%28x%2F24%29%2B%28%28147-x%29%2F54%29=3
LCD = 216 Multiply by LCD
%289x%2B%284%2A147%29-4x=216%2A3
9x+588-4x=648
5x=60
/5
x=12 miles in the city
Balance =>147-12= 135 miles in country