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.