Question

A passenger train takes 2hours less for a journey of 300km if it's speed is increased by 5km per hour from its usual speed find the usual speed of the train

Answer 1

HERE IS YOUR ANSWER

TRAIN TAKES 2 HOURS LESS FOR A JOURNEY OF 300KM.
IF SPEED IS INCREASED BY 5KM/H THEN THE USUAL SPEED OF TRAIN BE X
NOW,X= 300KM*5KM/2=1500/2=750KM/H
THEREFORE,THE USUAL SPEED OF YRAIN IS 750KM/HOUR.

HOPE THIS HELPS....

Answer 2

Answer:

Let the usual speed of the train be y km / hr .

A.T.Q.

$\displaystyle{\frac{300}{y} -\frac{300}{y+5} =2 }$

300 ( y + 5 ) - 300 y = 2 y ( y + 5 )

y² + 5 y - 750 = 0

y² + 30 y - 25 y - 750 = 0

( y + 30 ( y -25 ) = 0

y = - 30 or y = 25

Since , speed of train can't be negative .

Therefore , the usual speed of the train is 25 km / hr .