SOLUTION: an express train and charter bus leave chicago to travel to champaign.the express train can make the trip in two hours and the bus takes five hours for the trip. the speed of the e

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Question 1166802: an express train and charter bus leave chicago to travel to champaign.the express train can make the trip in two hours and the bus takes five hours for the trip. the speed of the express train is 42 miles per hour faster than the speed of the bus. find the speed of the bus?
In riding a vehicle/, which rate per miles you prefer? which is safe to travel?
Found 2 solutions by dkppathak, solver91311:
Answer by dkppathak(439) About Me  (Show Source):
You can put this solution on YOUR website!
an express train and charter bus leave chicago to travel to champaign.the express train can make the trip in two hours and the bus takes five hours for the trip. the speed of the express train is 42 miles per hour faster than the speed of the bus. find the speed of the bus?
In riding a vehicle/, which rate per miles you prefer? which is safe to travel?
solution
let speed of bus is x miles /hours
speed of train will be 42 miles faster means X+42 miles per hours
speed =distance/time or speed * time =distance travelled
distance travelled by bus=x*5=5x miles
distance travelled by train =2(x+42) both travelled same distance
5x=2(x+42)
5x=2x+84
5x-2x=84
3x=84
x=84/3=28 miles /hours and train speed will be 70 mile per hours
verification distance by train=2x70=140 and distance travelled by bus =28x5=140 so both distance are same

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Distance equals rate times time, . Let represent the speed of the bus. Then is the speed of the train. The time for the train is 2 hours and the time for the bus is 5 hours, and unless someone picked up Champaign and moved it in the three hours between when the train arrived and the bus arrived, the distance traveled is equal. So:



Solve for

John

My calculator said it, I believe it, that settles it


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