Question

A train takes 18 seconds to pass a platform 162 m long and 15 seconds to pass the

platform of other station 120 m long. Find the speed of the train​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Assume L be the length of the train.

The train covers a distance of (162 + L) in 18 seconds.

The rate is then (162 + L)/18.

The train also covers a distance of (120 + L) in 15 seconds.

The rate is then (120 + L)/15.

Presumably, the train is traveling at a constant rate. Therefore, set the two rates equal to each other and solve for L.

(162 + L)/18 = (120 + L)/15

Cross multiply and solve for L

(162 + L) * 15 = (120 + L) * 18

2430 + 15L = 2160 + 18L

2430 - 2160 = 18L - 15L

270 = 3L

L = 270/3

L = 90m.

The length 90m.