Question

A passenger train travelling at a constant speed covers a distance in 3 hours while an express
train travelling 30 km/hr faster covers the same distance in 2 hours. Find the speeds of the two
trains.

​

Answer 1

Answer:

10th

Maths

Quadratic Equations

Solutions of Quadratic Equations

A man covers a distance of ...

MATHS

avatar

Asked on December 20, 2019 by

Sanjay Vas

A man covers a distance of 200 km travelling with a uniform speed of x km per hour. The distance could have been covered in 2 hours less, had the speed been (x+5) km per hour. Calculate the value of x.

MEDIUM

Share

Study later

ANSWER

Speed of the car =x km /hr

Time taken =t hrs

xt=200

∴t=

x

200

Now, (x+5)(t−2)=200

(x+5)(

x

200

−2)=200

(x+5)(200−2x)=200x

200x−2x

2

+1000−10x=200x

x

2

+5x−500=0

x

2

+25x−20x−500=0

(x+25)(x−20)=0

x=−25,x=20

Speed cannot be negative value, hence, x=20 km/hr