Question

rajdhani express travels at a speed of 150 km/hr. what distance rajdhani express will cover in 15 minutes?​

Answer 1

$\large{\underline{\red{\frak{ \: Given:- \: }}}}$

• $\sf Speed\:of\:Rajdhani\:express = 150km/hr$
• $\sf Time=15mins$

$\large{\underline{\red{\frak{ \: Find:- \: }}}}$

• $\sf Distance\: covered\:by\: train$

$\large{\underline{\red{\frak{ \: Solution:- \: }}}}$

F1st of all we convert Time which is in min to hour

So,

⚈1hour = 60mins

⚈1min = 1/60hr

→Time = 15mins = 15/60hrs

Now, Using

$\huge{\underline{\boxed{\sf Distance= Speed\times Time}}}$

$\sf where \small{\begin{cases} \sf Speed = 150km/hr \\ \sf Time = \dfrac{15}{60}hrs \end{cases}}$

$\dashrightarrow\sf Distance= Speed\times Time$

$\dashrightarrow\sf Distance = 150\times \dfrac{15}{60}$

$\dashrightarrow\sf Distance = 15\not{0}\times \dfrac{15}{6 \not{0}}$

$\dashrightarrow\sf Distance = 15\times \dfrac{15}{6}$

$\dashrightarrow\sf Distance = \dfrac{225}{6}$

$\dashrightarrow\sf Distance = 37.5km$

$\small{\underline{\boxed{\sf \therefore Distance\: travelled\:in\:15mins\:is\:37.5km}}}$