Question

The speed of an ordinary train is x km per hr
and that of an express train is (x + 25) km per hr.
(i) Find the time taken by each train to cover
300 km.
(ii) If the ordinary train takes 2 hrs more than
the express train; calculate speed of the
express train.​

Answer 1

Answer:

that is an answer if I wrong so I am sorry

Answer 2

(i) Given,

Speed of the ordinary train = x km/hr

Speed of the express train = (x + 25) km/hr

Distance = 300 km

We know that,

Time = Distance/ Speed

So, the time taken by the ordinary train to cover 300 km = 300/x hrs

And the time taken by the express train to cover 300 km = 300/ (x + 25) hrs

(ii) From the question, it’s given that the ordinary train takes 2 hours more than the express train to cover the distance of 300kms.

Hence:

7500 = 2x2 + 50x

2x2 + 50x – 7500 = 0x2 + 25x – 3750 = 0

x2 + 75x – 50x – 3750 = 0

x(x + 75) – 50(x + 75) = 0

(x – 50) (x + 75) = 0

Thus:

x = 50 or -75

As speed cannot be negative we shall ignore x = -75

Therefore:

The speed of the express train = (x + 25) km/hr = 75 km/hr