Question

A train 270m long is running at 80 km/hr.How much time will it take to cross a platform 130m long?​

Answer 1

AnswEr

• Length of the Train = 270 m
• Speed of the train = 80 km/hr
• Length of the platform = 130m

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀

$\star\ \boxed{\frak{\purple{Time = \dfrac{Distance}{Speed}}}}$

⠀⠀⠀$\bullet$ ⠀Distance = Length of the platform + Length of the train.

$\implies\tt Distance = 130 + 270 \\\\\implies\tt\pink{400 \ m}$

$\implies\tt Speed = 80 km/hr \\\\\implies\tt Speed = \dfrac{80 \times 5}{18}$

⠀⠀⠀Substituting Values in the formula :

$\implies\tt Time = \dfrac{\cancel{400}}{\cancel{5} \times \cancel{80}} \times 18 \\\\\implies\boxed{\frak{\purple{Time \ = 18 \ seconds}}}$

⠀⠀⠀$\therefore$ Hence, Time taken is 18 seconds.

Answer 2

Step-by-step explanation:

AnswEr

Length of the Train = 270 m

Speed of the train = 80 km/hr

Length of the platform = 130m

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀

\star\ \boxed{\frak{\purple{Time = \dfrac{Distance}{Speed}}}}⋆

Time=

Speed

Distance

⠀⠀⠀\bullet∙ ⠀Distance = Length of the platform + Length of the train.

\begin{gathered}\implies\tt Distance = 130 + 270 \\\\\implies\tt\pink{400 \ m}\end{gathered}

⟹Distance=130+270

⟹400 m

\begin{gathered}\implies\tt Speed = 80 km/hr \\\\\implies\tt Speed = \dfrac{80 \times 5}{18}\end{gathered}

⟹Speed=80km/hr

⟹Speed=

18

80×5

⠀⠀⠀Substituting Values in the formula :

\begin{gathered}\implies\tt Time = \dfrac{\cancel{400}}{\cancel{5} \times \cancel{80}} \times 18 \\\\\implies\boxed{\frak{\purple{Time \ = 18 \ seconds}}}\end{gathered}

⟹Time=

5

×

80

400

×18

⟹

Time =18 seconds

⠀⠀⠀\therefore∴ Hence, Time taken is 18 seconds.