SOLUTION: A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the ca

Question 334401: A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the car is 5 hours and 45 min. How long does each of the speeds take?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the car is 5 hours and 45 min. How long does each of the speeds take?
..
let the distance to work be x miles
speed = 58 mph
the distance return will be 317-x miles
speed = 52 mph
..

..
LCM = 52*58
..

..
-8x +18386 = 13*23*58
-8x=-18386+17342
-8x=-1044
x= -1044/-8
x= 130.5 miles.

130.5 / 58 = 2.25 hours at 58 mph
..
317-130.5 = 186.5 miles
On return speed = 52 mph

3.5 hours at 52 mph
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