SOLUTION: A driver of the car took a day trip around the California coast line driving at two different speed. He drove 70 miles at a slower speed and 300 miles at a speed 40 miles per hour

Question 462103: A driver of the car took a day trip around the California coast line driving at two different speed. He drove 70 miles at a slower speed and 300 miles at a speed 40 miles per hour faster. If the time spent during the faster speed was twice that spent at a slower speed, find the two speeds during the trip.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A driver of the car took a day trip around the California coast line driving at two different speed. He drove 70 miles at a slower speed and 300 miles at a speed 40 miles per hour faster. If the time spent during the faster speed was twice that spent at a slower speed, find the two speeds during the trip.
..
let x=slower speed
x+40 = faster speed
time traveled =distance/speed
2*70/x=300/(x+40)
140/x=300/(x+40)
300x=140x+40*140
160x=40*140
x=40*140/160=35 mph
ans:
slower speed = 35 mph
faster speed =x+40=75 mph
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