The amount of fuel consumed is directly proportional to the distance travelled. If a vehicle uses 9 litres of fuel to travel 540 km, how much fuel will it use to travel 840 km ?
14 litres
Since fuel consumed is directly proportional to distance, fuel per km is \(\frac{9}{540}\) litres.
Fuel needed for 840 km is \(\frac{9}{540} \times 840 = \frac{9 \times 840}{540}\).
This simplifies to \(\frac{7560}{540} = 14\).
So the vehicle will use \(14\) litres of fuel to travel 840 km.
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