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A motor bike runs 52\(\frac{1}{2}\) km using 1 litre of petrol. How much distance will it cover for 2\(\frac{3}{4}\) litres of petrol?

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 52\(\frac{1}{2}\)

Distance covered by the motor bike 1 litre petrol = 52\(\frac{1}{2}\) km (or) \(\frac{105}{2}\) km 

Distance covered by the motor bike for \(2\frac{3}{4}\) litres of petrol 

\(2\frac{3}{4}\) of  52\(\frac{1}{2}\)

\(=\frac{11}{4}\times\frac{105}{2}\)

\(= \frac{11\times105}{4\times2}\)

∴ Distance covered by the motor bike for \(2\frac{3}{4}\) litres of petrol = \(\frac{1155}{8}\) = 144\(\frac{3}{8}\) km.

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