Question

A good train and a passenger train are running on parallel tracks in the same
direction. The driver of the goods train observes that the passenger train coming
from behind overtakes and crosses his train completely in 60 sec. Whereas a
passenger on the passenger train marks that he crosses the goods train in 40
sec. If the speeds of the trains be in the ratio 1:2. Find the ratio of their lengths.​

Answer 1

Answer:

1:2

Step-by-step explanation:

Let the length of goods train=x and g passenger train=y and

Speed of goods train=g and passenger train=p , then their relative speed=p-g

Time taken to cross goods train by passenger train=(x+y)/(p-g) =1 ----(i) and

Time taken to cross goods train as seen by passenger in the passenger train= x/(p-g)=2/3 ----(ii)

From (i) & (ii), x+y =3x/2 or 2y=x

Hence ratio of lengths of goods train to passenger train=y/x =1/2 =1 : 2

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Answer 2

Answer:

2:1

Step-by-step explanation:

let the speeds of the two trains be s and 2s m/s respectively.

Also, suppose that the lengths of the two trains are P and Q metres respectively.

Then,

P+Q/2s−s=60------(1)

and

P/2s−s=40------(2)

On dividing these two equation we get:

P+Q/P=60/40

P:Q = 2 : 1