Question

A passenger train takes 2 hours more than an express train to travel a distance of 240 km.The speed of express train is more than that of passenger train by 20 km/ h. Find speed of both trains

Answer 1

Step-by-step explanation:

Let , the speed of passenger train = x

& speed of express train = x + 20

• According to the question

$\frac{240}{ x} - \frac{240}{x + 20} = 2$

Solve this by

1. taking LCM and simplifying into quadratic equation
2. After you equation is formed, solve it by splitting the middle term/ factorisation method
3. consider the positive value of x.

HOPE IT HELPED !!

ALL THE BEST!

Answer 2

Step-by-step explanation:

Total distance travelled by both the trains (each)=240 km

Let, the speed of the passengers train be x km/hr,

and the speed of the express train be (x +20)km/hr,

Time taken by the passengers train to travel the distance =240/x hrs

time taken by the express train to travel the distance = 240/ (x+20) hrs

mentioned in the question: the passenger train takes 2 hrs more than the express train to cover the distance,

equation for speed:

=>240/x- 240/(x+20)= 2

=>240 (x+20) -240 (x)=2× x (x+20)

=>240x+ 4800- 240x= 2x^2+ 40x

=>4800=2x^2+ 40x

=>x^2+ 20x =2400

=>x^2 +20x -2400= 0

=>x^2+ 60x-40x-2400=0

=>x (x+60)-40 (x+60)=0

=>(x+60)(x-40)=0

=;x+60=0 || x-40=0

=;x=(-60) || x= 40

hence speed cannot be negative thus speed of the passengers train=x= 40km/hrs

and speed of the express train=(x+20)= (40+20)=60 km/hr