SOLUTION: a man travels a distance of 250 km he travels 150km by bus and 100km by train and takes 3hrs if he travels 100km by bus and 150 km by train he takes 2:50hrs then what is the speed

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Question 903085: a man travels a distance of 250 km he travels 150km by bus and 100km by train and takes 3hrs if he travels 100km by bus and 150 km by train he takes 2:50hrs then what is the speed of train and bus ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use good written language with the needed punctuation:

A man travels a distance of 250 km. He travels 150km by bus and 100km by train and takes 3hrs. If he travels 100km by bus and 150 km by train, he takes 2:50hrs, then what is the speed of train and bus ?

r for rail speed
b for bus speed

FIRST TRAVEL PATH
TIME=DISTANCE%2FRATE
highlight%28150%2Fr%2B100%2Fb=3%29

SECOND TRAVEL PATH
Again T=D%2FR---- do not confuse this R with r.
highlight%28100%2Fr%2B150%2Fb=2%265%2F6%29

Two equations in the two unknown variables r and b.
Solve the two equations as a system.

You might be able to setup a data table. I set up the two equations without a data table, since this seemed easier to do without one.