# How to solve this question: A train covered a certain distance at a uniform speed. If the train would have been 10km/h faster , it would have taken 2hrs less than the scheduled time. And ,if the train were slower by 10km/h ; it would have taken 3hrs more than the scheduled time . Find the distance covered by them

2
by truptiDutta113

• Brainly User
2014-11-28T22:10:59+05:30
Let the speed, time, distance be s, t, d respectively related by st=d. We are given (s+10)(t-2)=d and (s-10)(t+3)=d. You have three equations and three variables showing that it is possible to solve them. You get s=50 kmph, t=12 h, d=600 km.
2014-11-28T23:20:42+05:30
Let the distance be x
& the speed be s
Time taken for traveling x distance = hr
When the speed is 10km faster time taken is
= -2
⇒x/(s+10)=x/s-2
⇒2s²-10x+20s=0
When the speed is 10km slower time taken is =s/x+3
⇒3s²-10x+30s=0
equating both equations    2s²-10x+20s=3s²-10x+30s
⇒  s²-50s=0
⇒s=50
substituting value in equation x=600