SOLUTION: The distance between two places is 400 km. Pete travels half of the way by bus and the other half by train and it takes him 6 1/2 hours for the whole journey. Tom travels 300 km by
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Question 1172581: The distance between two places is 400 km. Pete travels half of the way by bus and the other half by train and it takes him 6 1/2 hours for the whole journey. Tom travels 300 km by bus and 100 km by train and it takes him 7 1/4 hours for the whole journey. Find the speed of the bus and the speed of the train.
You can put this solution on YOUR website! distance=speed*time
x hours on bus*sb=200, where sb is speed of bus
sb=200/x hours on bus units are km/hr.
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6.5-x hours on train*st=200, where st is speed of train
st=200/(6.5-x) hours
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y hours on bus
sb=300/y
st=100/(7.25-y)
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speed doesn't change for bus, so 200/x=300/y and this is 200y=300x or y=1.5x
speed doesn't change for train, so 200/(6.5-x)=100/(7.25-y)
650-100x=1450-200y
y=1.5x
so 200y-100x=800
and 200x=800
x=4 hours on bus and bus goes 50 km/hr.
that would make 2.5 hours on train to go 200 km and train goes 80 km/h
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Check this in the second
300 km by bus takes 6 hours at 50 km/hr
100 km by train take 1.25 hours at 80 km/hr.
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