Question

A train covers a certain distance at a uniform rate on increasing it's speed by 5km/h it saves 20 minutes and on decreasing it's speed by 20 km h it loss 2 hours.find the distance covered by the train​

Answer 1

Answer:

600km

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

Case 1

(x+10)×(t−2)=d

xt+10t−2x−20=d

d+10t−2x−20=d

−2x+10t=20

Case 2

⇒(x−10)×(t+3)=d

⇒xt−10t+3x−30=d

⇒d−10t+3x−30=d

⇒3x−10t=30

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

⇒x=50

Substitute the value of x in (ii) we gets

⇒(−2)×(50)+10t=20

⇒−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.