An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km h more than that of the passenger train, find the average speed of the two trains.

An express train takes 1 hour less than a passenger train to travel 13

1.	An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km h more than that of the passenger train, find the average speed of the two trains.
Answer» speed of passenger train`= x`km/hr speed of express train `=(x+11)`km/hr time taken by passenger train`= 132/x = 132/x` time taken by express train`=132/(x+11) = 132/(x+11)` acc to question `132/(x+11) =132/x - 1 ` `132[1/x - 1/(x+11)] = 1` `132[(x+11-x)/(x(x+11))]=1` `132*11 = x(x+11)` `x^2+11x-1452=0` `x^2 + 44x-3x- 1452=0 ` `x(x+44) - 33(x+44)=0` `(x-33)(x+44)=0` `x=33 , -44` x=-44 cant be possible as x cant be zero so, x=33 & `x+11 = 44` answer