A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

Question

Philoid · Accepted Answer

Let the speed of the train be x km/hr.

Time taken to cover 360 km = hr

According to the given question,

=

= x² + 5x – 1800 = 0

= x² + 45x – 40x – 1800 = 0

= x(x + 45) – 40(x+45) = 0

= (x+45)(x – 40 ) = 0

= x = - 45, 40

Hence, speed of train can’t be negative ,

so, speed will be 40 km/hour.