SOLUTION: The distance of station from the house of Ramakant Babu is 8km.He covers this distance in 36 minutes,travelling first part at the speed of 10km. per hour by bi-cycle and the second

Algebra ->  Proportions -> SOLUTION: The distance of station from the house of Ramakant Babu is 8km.He covers this distance in 36 minutes,travelling first part at the speed of 10km. per hour by bi-cycle and the second      Log On


   

Question 148735: The distance of station from the house of Ramakant Babu is 8km.He covers this distance in 36 minutes,travelling first part at the speed of 10km. per hour by bi-cycle and the second part at the speed of 18km. per hour by auto-rickshaw.What distance does he travel in each part?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The distance of station from the house of Ramakant Babu is 8km.He covers this distance in 36 minutes,traveling first part at the speed of 10km. per hour by bi-cycle and the second part at the speed of 18km. per hour by auto-rickshaw.What distance does he travel in each part?
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Bicycle DATA:
distance = x km ; rate = 10 km/hr ; time = d/r = x/10 hrs.
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Rickshaw DATA:
distance = (8-x) km ; rate = 18 km/hr ; time = (8-x)/18 hrs
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EQUATION:
time + time = 36/60 hrs
x/10 + (8-x)/18 = 36/60
x/5 + (8-x)/9 = 36/30
Multiply thru by 90 to get
18x + 80-10x = 108
8x = 28
x = 7/2 kmh (bicycle distance)
8-x = 9/2 kmh (rickshaw distance)
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Cheers,
Stan H.