Question

A train travelling at a uniform speed passes by a platform 220m long in 30 seconds and another platform 325m long in 39 seconds. find the lenth of the train.


please answer fast it's urgent​

Answer 1

Answer

• Length of the train = 41.9 m

Explanation

Given

• A train travels accross a platform of distance 220 m in 30 sec
• It crosses a platform of length 325 m in 39 sec

To Find

• Length of the train

Solution

Assume the length of the train as x

[Using the formula for speed, thet is Speed = Distance/Time

Case 1

➝ Speed = {x+Distance}/Time

➝ Speed = {x+220}/30 -eq(1)

Case 2

➝ Speed = {x+Distance}/Time

➝ Speed = {x+325}/39 -eq(2)

Equating eq(1) & eq(2)

➝ {x+220}/30 = {x+325}/39

➝ 39(x+220) = 30(x+325)

➝ 39x+8580 = 30x+9750

➝ 39x-30x = 9750-8580

➝ 9x = 1170

➝ x = 130

Therefore the length of the train is 130 m