Question

In a journey of 300 km a train slowed down speed by 50 km/hr due to bad weather and took one hour more to complete the journey the original speed of the train is

Answer 1

Answer:

the original speed of the train is 150 kmph

Step-by-step explanation:

Let the original speed of the train = s

Let the original time taken be t

Distance = speed x time

=> 300 = st

When the speed is reduced by 50 kmph, new speed = s-50

New time = t + 1

Hence,

(s-50)(t+1) = 300

=> st +s -50t -50 =300

=> 300 + s -50t -50 =300

=> s - 15000/s - 50 = 0

=> s^2 -50s -15000 =0

Solving the above quadratic eqn we get

s = 150 kmph

Hence the original speed of the train is 150 kmph