Question

Two trains are running on a parallel track in same direction. Train A comes from behind and overtake train B in 60 second. One person in train A observes that the covers train B in 40 second. If the speed of trains in the ratio.Find the ratio of length of train A and B?

Answer 1

Answer:

1:2

Step-by-step explanation:

Let the speed of the train P and Q be 2x m/sec and x m/sec respectively.

Let the length of the train P and Q be a metre and b metre respectively.

According to the question

(a + b)/(2x – x) = 60 ---(1)

⇒ b/(2x – x) = 40 ---(2)

Divided equation (1) by equation (2)

(a + b)/b = 60/40

⇒ (a + b)/b = 3/2

⇒ 2(a + b) = 3b

⇒ 2a + 2b = 3b

⇒ 3b – 2b = 2a

⇒ 2a = b

⇒ a : b = 1 : 2