Question

The distance between Ram's house and his office was 7 1/2 km. He took a bus for some distance and walked the last 1 1/5 km. What distance did he cover by bus?
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Answer 1

⇒ Given :-

• The distance between Ram's house and his office was $\sf7~{\frac{1}{2}}}$ km.

• He took a bus for some distance and walked the last $\sf1~{\frac{1}{5}}}$ km.

⇒ To Find :-

• What distance did he cover by bus?

⇒ Solution :-

• Total Distance = $\sf7~{\frac{1}{2}}}$ km

• Distance he walked = $\sf1~{\frac{1}{5}}}$ km

• ∴ Distance covered by bus

Let it be 'x'

= 'x' + $\sf1~{\frac{1}{5}}}$ = $\sf7~{\frac{1}{2}}}$ km

= $\sf7~{\frac{1}{2}}}$ $-~\sf1~{\frac{1}{5}}}$ km

= $\sf{\frac{15}{2}}}$ $-~\sf{\frac{6}{5}}}$ km

L.C.M of 2,5 = 10

= $\sf{\frac{75}{10}}}$ $-~\sf{\frac{12}{10}}}$ km

= $\sf{\frac{63}{10}}}$ km

'x' = $\sf~6{\frac{3}{10}}}$ km

• Ans. Ram travelled ${\underline{\sf~6{\frac{3}{10}}}$ km by bus.

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