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4GMAT Diagnostic Test Q12 - Problem Solving - Word Problem - Algebra - Ratios

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This document provides a step-by-step solution to a word problem involving ratios about the fuel consumption of an SUV and sedan. It is given that the SUV consumes 40% more fuel than the sedan for the same distance. The problem asks to calculate the liters of fuel the sedan consumes per km, given that each vehicle drove 1050 km and the total fuel consumed was 360 liters. The solution defines variables, sets up equations relating the fuel consumed by each vehicle, solves to find the fuel consumed by the sedan, and determines that the sedan consumes 0.14 liters per km.

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GMAT QUANTITATIVE REASONING RATIOS WORD PROBLEM PROBLEM SOLVING Diagnostic Test
Question An SUV consumes 40% more fuel than a family sedan for the same distance. The total fuel consumed when an SUV and a family sedan drove 1050 km each was 360 litres. How many litres of fuel does the sedan consume per km? A. 5 liters B. 0.2 liters C. 7 liters D. 0.14 liters E. 1.2 liters
Step 1 Jot down key data. Assign variables.
Distance covered by each vehicle = 1050 km How many litres of fuel does the sedan consume per km?
Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km?
Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan
Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan 揃 Let the sedan consume x litres of fuel to cover 1050 km.
Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan 揃 Let the sedan consume x litres of fuel to cover 1050 km. 揃 the SUV will consume (x + 40% of x) litres of fuel to cover 1050 km.
Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan 揃 Let the sedan consume x litres of fuel to cover 1050 km. 揃 the SUV will consume (x + 40% of x) litres of fuel to cover 1050 km. Or the SUV consumes x + 40 100 x = 14 10 x
Step 2 Compute the value of x. Then compute the answer
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel.
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel.
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel. 揃 Total fuel consumed by sedan and SUV = x + 14 10 x = 24 10 x litres of fuel.
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel. 揃 Total fuel consumed by sedan and SUV = x + 14 10 x = 24 10 x litres of fuel. 揃 24 10 x = 360 or x = 360 10 24 = 150 litres
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? Note: x is not the final answer 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel. 揃 Total fuel consumed by sedan and SUV = x + 14 10 x = 24 10 x litres of fuel. 揃 24 10 x = 360 or x = 360 10 24 = 150 litres
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km.
Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km. to cover 1 km the sedan will consume 150 1050 = 1 7 0.14 litres
Sedan consumes 0.14 litres per km Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km. to cover 1 km the sedan will consume 150 1050 = 1 7 0.14 litres
Choice D Sedan consumes 0.14 litres per km Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km. to cover 1 km the sedan will consume 150 1050 = 1 7 0.14 litres
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4GMAT Diagnostic Test Q12 - Problem Solving - Word Problem - Algebra - Ratios

  • 1. GMAT QUANTITATIVE REASONING RATIOS WORD PROBLEM PROBLEM SOLVING Diagnostic Test
  • 2. Question An SUV consumes 40% more fuel than a family sedan for the same distance. The total fuel consumed when an SUV and a family sedan drove 1050 km each was 360 litres. How many litres of fuel does the sedan consume per km? A. 5 liters B. 0.2 liters C. 7 liters D. 0.14 liters E. 1.2 liters
  • 3. Step 1 Jot down key data. Assign variables.
  • 4. Distance covered by each vehicle = 1050 km How many litres of fuel does the sedan consume per km?
  • 5. Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km?
  • 6. Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan
  • 7. Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan 揃 Let the sedan consume x litres of fuel to cover 1050 km.
  • 8. Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan 揃 Let the sedan consume x litres of fuel to cover 1050 km. 揃 the SUV will consume (x + 40% of x) litres of fuel to cover 1050 km.
  • 9. Distance covered by each vehicle = 1050 km Total fuel consumed = 360 litres How many litres of fuel does the sedan consume per km? SUV consumes 40% more fuel than the sedan 揃 Let the sedan consume x litres of fuel to cover 1050 km. 揃 the SUV will consume (x + 40% of x) litres of fuel to cover 1050 km. Or the SUV consumes x + 40 100 x = 14 10 x
  • 10. Step 2 Compute the value of x. Then compute the answer
  • 11. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km
  • 12. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel.
  • 13. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel.
  • 14. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel. 揃 Total fuel consumed by sedan and SUV = x + 14 10 x = 24 10 x litres of fuel.
  • 15. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel. 揃 Total fuel consumed by sedan and SUV = x + 14 10 x = 24 10 x litres of fuel. 揃 24 10 x = 360 or x = 360 10 24 = 150 litres
  • 16. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? Note: x is not the final answer 02 Solve for x, the quantity of fuel consumed by the sedan for 1050 km 揃 Sedan consumes x litres of fuel. 揃 SUV consumes 14 10 x litres of fuel. 揃 Total fuel consumed by sedan and SUV = x + 14 10 x = 24 10 x litres of fuel. 揃 24 10 x = 360 or x = 360 10 24 = 150 litres
  • 17. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km
  • 18. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km.
  • 19. Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km. to cover 1 km the sedan will consume 150 1050 = 1 7 0.14 litres
  • 20. Sedan consumes 0.14 litres per km Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km. to cover 1 km the sedan will consume 150 1050 = 1 7 0.14 litres
  • 21. Choice D Sedan consumes 0.14 litres per km Distance covered 1050 km. Total fuel consumed 360 litres. How many litres of fuel does the sedan consume per km? 03 Compute litres of fuel consumed by sedan per km 揃 Sedan consumes 150 litres of fuel to cover 1050 km. to cover 1 km the sedan will consume 150 1050 = 1 7 0.14 litres
  • 22. For GMAT Prep Visit http://www.4gmat.com GMAT Classes and GMAT Preparation Send your comments / feedback to info@4gmat.com
  • 23. 4GMAT We offer classroom training in Chennai and Bangalore Tutors include GMAT 98%ilers, US B School graduates and IIM graduates Call us: +91 95000 48484 Mail us: info@4gmat.com