Truck Fuel Consumption and Distance

CAT 2000 Slot 1 · QA · Easy · Arithmetic

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A truck travelling at 70 km/hr70\text{ km/hr} uses 30%30\% more diesel to travel a certain distance than it does when it travels at a speed of 50 km/hr50\text{ km/hr}. If the truck can travel 19.5 km/L19.5\text{ km/L} of diesel at 50 km/hr50\text{ km/hr}, how far can the truck travel on 10 L10\text{ L} of diesel at a speed of 70 km/hr70\text{ km/hr}?

  1. A.

    130 km

  2. B.

    140 km

  3. C.

    150 km

  4. D.

    175 km

Answer

C

Explanation

At 50 km/hr50\text{ km/hr}, efficiency is 19.5 km/L19.5\text{ km/L}. At 70 km/hr70\text{ km/hr}, consumption is 1.31.3 times per unit distance, so efficiency becomes 19.51.3=15 km/L\frac{19.5}{1.3} = 15\text{ km/L}. On 10 L10\text{ L} of diesel at 70 km/hr70\text{ km/hr}, the distance covered is 10×15=150 km10 \times 15 = 150\text{ km}.

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