SOLUTION: A driver took a day-trip driving at two different speeds. He drove 50 miles at a slower speed and 140 miles at a speed 10 miles per hour faster. If the time spent during the fas
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Question 1155290: A driver took a day-trip driving at two different speeds. He drove 50 miles at a slower speed and 140 miles at a speed 10 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 greenestamps(13203) (Show Source): You can put this solution on YOUR website!
time = distance / rate
x = lower speed
x+10 = higher speed
time to go 50 miles at lower speed: 50/x
time to go 140 miles at higher speed: 140/(x+10)
The time at the higher speed is twice the time at the lower speed:
The two speeds are 25mph and 35mph.
CHECK:
50 miles at 25mph = 2 hours
140 miles at 35mph = 4 hours
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