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Palto Car Fuel Consumption

CAT 2001 Slot 1 · Quantitative Ability · Medium · Data Interpretation

This is a medium Quantitative Ability question set from the CAT 2001 Slot 1 paper. It tests Data Interpretation. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Passage / data set

The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by the graph below: At 40 km/hr40\text{ km/hr}, fuel consumption is 2.5 L/hr2.5\text{ L/hr}. At 60 km/hr60\text{ km/hr}, fuel consumption is 4.0 L/hr4.0\text{ L/hr}. At 80 km/hr80\text{ km/hr}, fuel consumption is 7.9 L/hr7.9\text{ L/hr}.

Question 1 of 2

Manasa makes a 200 km200\text{ km} trip from Mumbai to Pune at a steady speed of 60 km/hr60\text{ km/hr}. What is the volume of petrol consumed for the journey?

  1. A.

    12.5 L

  2. B.

    13.33 L

  3. C.

    16 L

  4. D.

    19.75 L

Answer

B

Explanation

Time taken =200/60=10/3 hours= 200 / 60 = 10 / 3\text{ hours}. Fuel consumption rate at 60 km/hr=4 L/hr60\text{ km/hr} = 4\text{ L/hr}. Total volume of petrol =(10/3)×4=40/3=13.33 L= (10 / 3) \times 4 = 40 / 3 = 13.33\text{ L}.

Question 2 of 2

Manasa would like to minimize the fuel consumption for the trip by driving at the appropriate speed. How should she change the speed?

  1. A.

    Increase the speed

  2. B.

    Decrease the speed

  3. C.

    Maintain the speed at 60 km/hr

  4. D.

    Cannot be determined

Answer

B

Explanation

At 40 km/hr40\text{ km/hr}, time =200/40=5 hr= 200 / 40 = 5\text{ hr}. Total fuel =5×2.5=12.5 L= 5 \times 2.5 = 12.5\text{ L}. At 60 km/hr60\text{ km/hr}, fuel =13.33 L= 13.33\text{ L}. At 80 km/hr80\text{ km/hr}, time =2.5 hr= 2.5\text{ hr}. Total fuel =2.5×7.9=19.75 L= 2.5 \times 7.9 = 19.75\text{ L}. Driving at 40 km/hr40\text{ km/hr} gives minimum fuel consumption, so she should decrease the speed.

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