Question

A train covered a certain distance at a uniform speed .If the train would have been 10km h faster it would ..

Answer 1

Answer:600 km

Step-by-step explanation:

Let the speed of the train be xkm/h and the time taken by train to travel the given distance be t hours and the distance to travel be dkm. We know that,

⇒Speed=

Time

Distance

​

⇒x=

t

d

​

∴d=xt.......(i)

Case 1

⇒(x+10)×(t−2)=d

⇒xt+10t−2x−20=d

⇒d+10t−2x−20=d

⇒$$− 2x + 10t = 20$$...... (ii)

Case 2

⇒(x−10)×(t+3)=d

⇒xt−10t+3x−30=d

⇒d−10t+3x−30=d

⇒$$3x − 10t = 30$$......... (iii)

Adding equations (ii) and (iii), we gets

⇒x=50

Substitute the value of x in (ii) we gets

$$\Rightarrow (−2) \times (50) + 10t = 20$$

$$\Rightarrow −100 + 10t = 20$$

⇒10t=120

⇒t=12 hours

Substitue the value of t and x in equation (i), we gets

Distance to travel =d=xt

⇒d=12×50=600Km

Hence, the distance covered by the train is 600km.