SOLUTION: a train travels for 7 hours, it returns at 12km/h faster and takes 5 hrs, what is the distance travelled

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Question 338538: a train travels for 7 hours, it returns at 12km/h faster and takes 5 hrs, what is the distance travelled
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let speed be x while going - time 7 hours
while returning it will be x+12 time 5 hours
..
distance traveled D = speed * time
while going D= 7x
while returning D=5(x+12)
..
distance is same
7x= 5(x+12)
7x=5x+60
add -5x
7x-5x=5x-5x+60
2x=60
divide by 2
x= 60/2
x= 30 mph
..
Distance = speed * time
D= 30*7= 210 km
..
Check
D= 5(x+12)
D=5(32+12)
D=5*42
D= 210