A train travels 360 km at a uniform speed if the speed had been 5 km per hour more,it would have been taken 48 minutes less for same journey. Find the speed of train.
yatinbohra2003:
Hi
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Answered by
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Speed=x
d=360km
T=d/x
=360/x
T-48/60=360/x+5
T-4/5=360/x+5
Substitute t=360/x
360/x-4/5=360/x+5
-4/5=360/x+5-360/x
-4/5=360(1/x+5-1/x)
-4/5=360(x-x-5/x^2+5x)
-4/5=360(-5/x^2+5x)
-4/5=-1800/x^2+5x
Cross multiply it and then u will get quadratic equation and then factorise it and you will get the speed of the train
d=360km
T=d/x
=360/x
T-48/60=360/x+5
T-4/5=360/x+5
Substitute t=360/x
360/x-4/5=360/x+5
-4/5=360/x+5-360/x
-4/5=360(1/x+5-1/x)
-4/5=360(x-x-5/x^2+5x)
-4/5=360(-5/x^2+5x)
-4/5=-1800/x^2+5x
Cross multiply it and then u will get quadratic equation and then factorise it and you will get the speed of the train
Answered by
4
hey here is ur answer..
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