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.

Open in App

Solution

speed= d/t
t = d/s
---
time for ordinary train:
a = 300/x
---
time for express train:
b = 300/(x+25)
---
a = b + 2

$300 over x equals fraction numerator 300 over denominator 25 plus x end fraction plus 2 fraction numerator 300 left parenthesis 25 plus x right parenthesis minus 300 x over denominator x left parenthesis 25 plus x right parenthesis end fraction equals 2 300 asterisk times 25 equals 2 x squared plus 50 x 2 x squared plus 50 x minus 7500 equals 0 s o s o l v i n g space left parenthesis x minus 50 right parenthesis left parenthesis x plus 75 right parenthesis equals 0 x equals 50 x equals negative 75 s o space t h e space s p e e d space o f space s i m p l e space t r a i n space equals 50 k m p h e x p r e s s space t r a i n space equals 75 k m p h s o space t i m e space t a k e n space b y space e a c h space t r a i n space equals 300 over 50 equals 6 h r s space f o r space s i m p l e space t r a i n space f o r space e x p r e s s space t equals 300 over 75 equals 4 space h r s$

Suggest Corrections

Similar questions

Q. The speed of an express train is x km/hr and the speed of an ordinary train is

12 K m / h r

less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of

240

km, find the speed of the express train.

The speed of an express train is km/hr & the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes 1 hour longer than express train to cover a distance of 240 km, find the speed of the express train.

Q. The distance between two places is 900 km. An ordinary express train takes 5 hours more than a superfast express train to cover this distance. If the speed of the superfast express train is 15 km/hr more than that of the ordinary express train, find the speed of the trains.

Q. The speed of an express train is x km/h and the speed of an ordinary train is 12 km/h less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train. [4 MARKS]

Q. An express train takes one hour less than the passenger train to travel 132 km. If the average speed of the express train is 11 km per hr more than the passenger train. What is the average speed of the 2 trains.

Join BYJU'S Learning Program

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.

speed= d/t t = d/s --- time for ordinary train: a = 300/x --- time for express train: b = 300/(x+25) --- a = b + 2

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.