Question

A 300 metre long train crosses an electric pole in 15 seconds. In how many seconds will it cross a bridge 0.6km long?

Plz give the step by step solution

Answer 1

$\red{\tt{\underline{\underline{Answer:}}}}$

$\sf{The \ train \ will \ take \ 7.5 \ minutes}$

$\sf{to \ cross \ the \ bridge.}$

$\orange{\tt{\underline{\underline{Given:}}}}$

$\sf{\implies{Length \ of \ train=300 \ m}}$

$\sf{\implies{Train \ crosses \ a \ pole \ in \ 15 \ seconds}}$

$\pink{\tt{\underline{\underline{To \ find:}}}}$

$\sf{How \ long \ will \ take \ to \ cross}$

$\sf{bridge \ of \ 0.6 \ km}$

$\blue{\tt{\underline{\underline{Solution:}}}}$

$\sf{Speed=\frac{Distance}{Time}}$

$\sf{\therefore{Speed=\frac{300}{15}}}$

$\sf{\therefore{Speed=20 \ m \ s^{-1}}}$

$\sf{1 \ km=1000 \ m}$

$\sf{0.6 \ km =600 \ m}$

$\sf{Here,}$

$\sf{\implies{Speed=20 \ m \ s^{-1}}}$

$\sf{\implies{Distance=600+300=900 \ m}}$

$\sf{Time=\frac{Distance}{Time}}$

$\sf{\therefore{Time=\frac{900}{20}}}$

$\sf{\therefore{Time=450 \ seconds}}$

$\sf{60 \ seconds=1 \ minute}$

$\sf{\frac{450}{60}=7.5 \ minutes}$

$\sf\purple{\tt{\therefore{The \ train \ will \ take \ 7.5 \ minutes}}}$

$\sf\purple{\tt{\therefore{to \ cross \ the \ bridge.}}}$

Answer 2

$\huge\underline\mathfrak\blue{Answer}$

$\rm\pink{Time \ taken \ by \ the \ train \ to \ cross }$

$\rm\pink{a \ bridge \ 0.6 km \ long : 45 sec}$

__________________________________________

$\sf\large\underline\orange{Given:}$

$\rm{Length \ of \ the \ train :300 m}$

$\rm{Time \ by \ the \ train \ to \ cross \ the \ electric \ pole}$

$\rm{ :15 sec}$

__________________________________________

$\sf\large\underline\orange{To \ find:}$

$\rm{Time \ taken \ by \ the \ train \ to \ cross }$

$\rm{a \ bridge \ 0.6 km \ long}$

__________________________________________

$\huge\underline\mathfrak\green{Solution:}$

$speed = \frac{distance}{time}$

$speed = \frac{300}{15}$

$speed = 20 m {s}^{ - 1}$

$0.6km = 600m$

$\rm{</strong><strong>here</strong><strong>,</strong><strong>}$

$distance = 300 + 600$

$distance = 900m$

$time = \frac{distance}{speed}$

$time = \frac{900}{20}$

$time = 45sec$

$\rm</strong><strong>\</strong><strong>p</strong><strong>i</strong><strong>n</strong><strong>k</strong><strong>{Time \ taken \ by \ the \ train \ to \ cross }$

$\rm</strong><strong>\</strong><strong>p</strong><strong>i</strong><strong>n</strong><strong>k</strong><strong>{a \ bridge \ 0.6 km \ long</strong><strong> </strong><strong>:</strong><strong> </strong><strong>4</strong><strong>5</strong><strong> </strong><strong>sec</strong><strong>}$

__________________________________________

$\</strong><strong>r</strong><strong>m</strong><strong>\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{</strong><strong>hope</strong><strong> </strong><strong>\</strong><strong> </strong><strong>it</strong><strong> </strong><strong>\</strong><strong> </strong><strong>helps</strong><strong> </strong><strong>}</strong><strong>$ :))