A train covered a certain distance …

Nice! Tanu sis...👍👍🥰

  Use app Login Question  A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train. Hard Open in App Solution  Verified by Toppr 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=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 ⇒(−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.