Question

A train 600m long travelling at 60km/h passes a bridge in 90 seconds what is the lengh of the bridge

Answer 1

$\mathbb{\underline{\green{SOLUTION:}}}$

Given,

Length of the train = 600 m

Speed of the train = 60 kmph

-- Express speed of train in mps

¶¶¶ Convert kmph to mps ¶¶¶

¶ $1 kmph = \frac{5}{18} mps$

So,
$60 kmph = \frac{(60×5)}{18} = \frac{50}{3} mps$

time taken to pass the bridge = 90 sec

Let length of the bridge be x mts

We have,

$Speed = \frac{Distance}{time}$

Then,

$\frac{600+x}{90} = \frac{50}{3}$

=> 3(600 + x) = 90 × 50
=> 1800 + 3x = 4500
=> 3x = 4500 - 1800
=> 3x = 2700
=> x = 900

•°• Length of the Bridge = 900 m

$\mathcal{\huge{\blue{Hope\: it\: helps}}}$