Question

Rajiv and Sushi live in 2 cities 310 km apart from each other they started at same time to meet each other at some place in between the speed of Rajiv is 10 kilometre per hour more than the speed of Sushil after 3 hours they are 40 kilometre away from each other find the speed of Rajiv and Sushil​

Answer 1

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Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• Rajiv and Sushi live in 2 cities 310 km apart from each other they started at same time to meet each other at some place in between the speed of Rajiv is 10 kilometre per hour more than the speed of Sushil after 3 hours they are 40 kilometre away from each other find the speed of Rajiv and Sushil.

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$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• Let the speed of Sushil be = $\sf\green{\: <strong>x</strong><strong>\</strong><strong>:</strong><strong>km</strong><strong>/</strong><strong>h</strong>}$

• The speed of Rajiv = $\sf\green{ Speed \: of \: Sushil \: + \: 10}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \:(\: x + 10\:) \: km/h}}}$

• Distance travelled by Sushil in 3 hours = $\sf\blue{ 3x}$
• Distance travelled by Rajiv in 3 hours = $\sf\blue{ 3(x+10)}$

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

They are 40km apart and the total distance between the cities is 310km.

• Distance of Rajiv and Sushil + 40 = Total Distance

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\purple{ \boxed{\displaystyle \sf \bold\red{\: 3x \: + \: 3(x \: + \: 10) \: + \: 40 \: = \: 310 }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 3x \: + \: 3x \: + \: 30 \: + \: 40 \: = \: 310 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 6x \: + \: 70 \: = \: 310}}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ 6x \: = \: 310 \: - \: 70 }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ 6x \: = \: 240 }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ x \: = \frac{240}{6} \: }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ x \: = \cancel{ \frac{240}{6} } }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{x \: = \: 40km/h }}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ The \:speed \:of \: Sushil = \underline {\underline{ x \: = \: 40km\: per hour }}}\\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ The\: speed \:of \: Rajiv = \underline {\underline{ x \:+ \: 10 = \: 50km\: per hour }}}\\\end{gathered}\end{gathered}$

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