SOLUTION: A bus trip takes 1 1/2 hours. By plane, the same trip is 30 minutes. How many times faster is it to go by plane?

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Question 252121: A bus trip takes 1 1/2 hours. By plane, the same trip is 30 minutes. How many times faster is it to go by plane?
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A bus trip takes 1 1/2 hours. By plane, the same trip is 30 minutes. How many times faster is it to go by plane?
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Bus DATA:
time = (3/2) hrs ; distance = x miles ; rate = d/t = x/(3/2)= (2x/3) mph
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Plane DATA:
time = (1/2) hr ; distance = x miles ; rate = x/(1/2) = 2x mph
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Compare the rates:
plane speed = k*bus speed
2x = k*(2/3)x
k = 3
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The plane is 3 times as fast as the bus.
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Shorter Version:
The plane takes (1/3) the time of the bus to cover the same distance.
Therefore the plane goes 3 times faster.
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Cheers,
Stan H.

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
1 1/2 hours=1.5 hrs
30 minutes=.5 hrs
1.5/.5=3 times faster

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