Question

Exercise 1. A train covers a distance between stations A and B in 2 hours. If the speed is reduced by 6 km/hr, it will cover the same distance in 3 hours. What is the distance between the two stations A and B (in km)? Also, find the speed of the train. a) 36 km, 18 km/hr b) 42 km, 21 km/hr c) 18 km, 9 km/hr d) 28 km, 14 km/hr ​

Answer 1

Answer:

The distance between A and B is 18km

c) 18km, 9km/hr

Answer 2

Answer: A) 36 Km, 18 Km/hr

Step-by-step explanation:

Speed = x

As per the given question, the time taken for the train to cover the distance AB is 2 hours with the speed x.

We are also given that the time taken for the train to cover the distance AB with the speed x-6 Km/h is 3 hours.

Formula :- Distance = Speed × Time

Let distance = d

Distance will remain the same in both the cases so two equations can be formed.

2x = d ----- eq.1

3(x-6) = d ----- eq.2

Comparing both of the above equations,

3x - 2x = 18, x = 18 Km/h = speed of  the train

Use any one of these equations to get the distance since it will remain the same in both the cases.

We get that,

→2 (18) = d

⇒ d = 36 Km = Distance the train travelled