SOLUTION: a man runs to a telephone booth and comes back in 15 minutes. his speed on the way to tha booth is 5m/s and his speed on tha way back is 4m/s. find the distance to the telephone bo

Algebra ->  Average -> SOLUTION: a man runs to a telephone booth and comes back in 15 minutes. his speed on the way to tha booth is 5m/s and his speed on tha way back is 4m/s. find the distance to the telephone bo      Log On


   

Question 994008: a man runs to a telephone booth and comes back in 15 minutes. his speed on the way to tha booth is 5m/s and his speed on tha way back is 4m/s. find the distance to the telephone booth
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a man runs to a telephone booth and comes back in 15 minutes. his speed on the way to tha booth is 5m/s and his speed on tha way back is 4m/s. find the distance to the telephone booth
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To the booth DATA:
rate = 5 m/s ; distance = x meters ; time = d/r = x/5 meters/second
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From the booth DATA:
rate = 4 m/s ; distance = x meters ; time = d/r = x/4 meters/second
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Equation:
time + time = 900 seconds
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x/5 + x/4 = 900
4x + 5x = 20*900
9x = 20*900
x = 2000 meters
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Cheers,
Stan H.