Two trains A and B, each of length 100 m, are running on parallel tracks. One overtakes the other in 20 s and one crosses the other in 10 s. The velocity of trains are :-

Question

Two trains A and B, each of length 100 m, are running on parallel tracks. One overtakes the other in 20 s and one crosses the other in 10 s. The velocity of trains are :- (A) 5 m / s , 5 m / s (B) 10 m / s , 15 m / s (C) 15 m / s , 5 m / s (D) 15 m / s , 30 m / s

Tardigrade Admin · Accepted Answer

If v1 and v2 are the velocities, then ( v 1- v 2) × 20=(100+100) ...(i) and ( v 1+ v 2) × 10=(100+100) ...(ii) After solving above equations, we get v1=15 m / s and v 2=5 m / s

Q. Two trains $A$ and $B$ , each of length $100 m$ , are running on parallel tracks. One overtakes the other in $20 s$ and one crosses the other in $10 s$ . The velocity of trains are :-

5 m / s , 5 m / s

10 m / s , 15 m / s

15 m / s , 5 m / s

15 m / s , 30 m / s

If $v_{1}$ and $v_{2}$ are the velocities, then
$(v_{1} - v_{2}) \times 20 = (100 + 100)$ ...(i)
and $(v_{1} + v_{2}) \times 10 = (100 + 100)$ ...(ii)
After solving above equations, we get
$v_{1} = 15 m / s$ and $v_{2} = 5 m / s$

Q. Two trains A and B, each of length 100m, are running on parallel tracks. One overtakes the other in 20s and one crosses the other in 10s. The velocity of trains are :-