1.

The Time A Passenger Train Takes To Cross Another Freight Train Is Twice When The Passenger Train Crosses The Freight Train Running In Opposite Directions. What Is The Ratio Of Their Speeds?

Answer»

Lets assume speed of freight train = X Km/hr

speed of passenger train = Y Km/hr.

and sum of their length = D Km.

When TRAINS are running in same direction:

so TIME = D/(X-Y) ---------- (1)

When trains are running in OPPOSITE direction:

So, Time = D/(X+Y) --------- (2)

By eq. (1) & (2)

[D/(X-Y)] = 2 * [D/(X+Y)]

=> 2X-2Y = X+Y

=> X = 3Y 

=> X:Y = 3:1.

Lets assume speed of freight train = X Km/hr

speed of passenger train = Y Km/hr.

and sum of their length = D Km.

When trains are running in same direction:

so Time = D/(X-Y) ---------- (1)

When trains are running in opposite direction:

So, Time = D/(X+Y) --------- (2)

By eq. (1) & (2)

[D/(X-Y)] = 2 * [D/(X+Y)]

=> 2X-2Y = X+Y

=> X = 3Y 

=> X:Y = 3:1.


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