Question

5. A train travelled a certain distance in 10 hours. Had its speed been 40 km per hour more, it would have taken 4 hours less to cover the same distance. At what speed did the train travel ?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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=TimeDistance

⇒x=td

∴d=x...(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

⇒(−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

 

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