SOLUTION: A person leaves home at 7:00 a.m. and drives to a destination at a rate of forty mph. After spending one hour at the destination, the person returns at a rate of twenty-five mph an

Question 971276: A person leaves home at 7:00 a.m. and drives to a destination at a rate of forty mph. After spending one hour at the destination, the person returns at a rate of twenty-five mph and arrives home at 2:30 p.m. How far is the trip to the destination?
Found 2 solutions by JoelSchwartz, Alan3354:
Answer by JoelSchwartz(130) (Show Source): You can put this solution on YOUR website!
t=the time it took to get to the destination traveling forty miles per hour.
x=amount of time it took to return home from the destination traveling twenty five miles per hour.
t+1+x=7.5
t+x=6.5
d=number of miles each way
40t=d
25x=d
25x=40t
t=6.5-x
25x=40(6.5-x)
25x=260-40x
65x=260
x=4
d=25*4
The trip is 100 miles to the destination. To go back to where the person started from it would take 200 miles of traveling.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A person leaves home at 7:00 a.m. and drives to a destination at a rate of forty mph. After spending one hour at the destination, the person returns at a rate of twenty-five mph and arrives home at 2:30 p.m. How far is the trip to the destination?
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Avg RT speed = 2*40*25/(40+25) = 400/13 mi/hr
6.5 hours driving
d = r*t = (400/13)*(13/2) = 200 miles RT
100 miles each way

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