SOLUTION: A train running between City A and City B arrives at its destination 10minutes late when it goes at 40kms.per hour. And 16minutes late when it goes at 30kms. per hour. What is the

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Question 949620: A train running between City A and City B arrives at its destination 10minutes late when it goes at 40kms.per hour. And 16minutes late when it goes at 30kms. per hour. What is the distance between two cities?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A train running between City A and City B arrives at its destination 10minutes late when it goes at 40kms.per hour.
And 16 minutes late when it goes at 30kms. per hour.
What is the distance between two cities?
:
We can say that the travel time at 40 km/hr is is 6 min faster than at 30 km/hr.
Convert 6 min to hrs; 6/60 = .1 hrs
:
let d = the distance between the cities
write a time equation; time = dist/speed
d%2F30 - d%2F40 = .1
multiply equation by 120 and cancel the denominators
4d - 3d = 120*.1
d = 12 km