Question

a) If the speed of a train is increased by 5 km/hour,
then the train takes 1 hour less time to cover a
distance of 360 km. Find the speed of the train. 4
3
11.​

Answer 1

the speed of the train is 4

Answer 2

Answer:

40 km/hr

Step-by-step explanation:

Let the speed be x.

So, Time = Distance/Speed

Now, T1 = 360/x      ----(1)

         T2 = 360/(x+5)   -----(2)

(1) - (2) => T1 - T2 = 360/x - 360/(x+5)

            =>  1 = 360(1/x - 1/(x+5))

            => x² + 5x - 1800 = 0

            => x(x-40) + 45(x-40) = 0

             => (x-40)(x+45) = 0

             => x = 40 km/hr