60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?(a) 80 litres(b) 90 litres(c) 120 litres(d) 170 litres Related: Ratio Proportion Variation Practice Questions?

Question

60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?(a) 80 litres(b) 90 litres(c) 120 litres(d) 170 litres Related:  Ratio Proportion Variation Practice Questions?

Answer

Solution:

Given, 60 litres of diesel is required to travel a distance of 600 km using an 800 cc engine. We need to find out the volume of diesel required to travel a distance of 800 km using a 1200 cc engine.

Let the volume of diesel required to travel a distance of 800 km using a 1200 cc engine be 'x'.

We know that the volume of diesel required to cover a distance varies directly as the capacity of the engine.

Hence, we can write the below proportionality equation.

Volume of diesel required ∝ Capacity of the engine

Mathematically, we can write this as,

Volume of diesel required / Capacity of the engine = k (constant of proportionality)

Now, we can use this proportionality equation to find the value of 'x'.

To find the value of 'k', we can use the given information.

60 litres of diesel is required to travel a distance of 600 km using an 800 cc engine.

Volume of diesel required / Capacity of the engine = k

60 / 800 = k

k = 0.075

Now, we can use this value of 'k' to find the value of 'x'.

Volume of diesel required / Capacity of the engine = k

x / 1200 = 0.075

x = 0.075 * 1200

x = 90 litres

Hence, the volume of diesel required to travel a distance of 800 km using a 1200 cc engine is 90 litres.

Answer: (b) 90 litres

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