SOLUTION: A train running between two towns arrives at its destination 10 minutes late when it goes 40 miles per hour and 16 minutes late when it goes 30 miles per hour. The distance be

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Question 732143: A train running between two towns arrives at its destination 10 minutes late when it
goes 40 miles per hour and 16 minutes late when it goes 30 miles per hour. The
distance between the two towns is
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A train running between two towns arrives at its destination 10 minutes late when it
goes 40 miles per hour and 16 minutes late when it goes 30 miles per hour. The
distance between the two towns is.
***
x=on-time travel time
x+(1/6)=travel time at 40 mph
x+(4/15)=travel time at 30 mph
distance=travel time*speed
10 min=1/6 hr
16 min=16/60=4/15 hr
..
40(x+(1/6))=30(x+(4/15))
40x+40/6=30x+8
10x=8-40/6=48/6-40/6=8/6=4/3
x=4/30=2/15
40(x+(1/6))=40*.3=12
or
30(x+(4/15))=30*6/15=12
distance between the two towns is=12 mi