SOLUTION: A train covers a distance in 50 mins,if it runs at at the speed of 36km/hour on the avarage.The speed at which the trin must run into reduce the time of journey to 30 mins,will be?

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Question 459887: A train covers a distance in 50 mins,if it runs at at the speed of 36km/hour on the avarage.The speed at which the trin must run into reduce the time of journey to 30 mins,will be?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A train covers a distance in 50 mins, if it runs at at the speed of 36km/hour on the average.
The speed at which the train must run into, reduce the time of journey to 30 mins, will be?
:
Let s = speed required to reduce speed to 30 min
:
Time varies inversely to speed, there for
30%2F50 = 36%2Fx
Cross multiply
30x = 50*36
30x = 1800
x = 1800%2F30
x = 60 mph to reduce the time to 30 min
:
:
Check this out using the actual distance
dist = 36*50%2F60
dist = 30 mi
:
Time going 60 mph: t = 30/60 = .5 hr which is 30 min