At the beginning of a trip, the tank of Chloe's car was filled with 12 gallons of gas. When she travels constantly on the highway at 60 miles per hour, the car consumes 1 gallon of gas per 35 miles. If she traveled 5 hours and 15 minutes on the highway with a constant speed of 60 miles per hour, how many gallons of gas are left in the tank?
Correct answer: A. 3
- A. 3
- B. 4
- C. 5
- D. 6
Explanation
For this to be solved we have to find the gallons of gas used If car travels 60 miles in one hour Car uses 1 gallon for 35 miles let's find the gallons it uses for 60 miles or in an hour 1 /35 x /60 ( cross multiplying) 60 *1 =35*x 12 /7=x Now multiply it with the hours of the journey Time of the journey : 5 hours and 15 minutes 15 minutes in hours :15/60 =¼Gallons used in the journey:5 ¼ * 12 /7 21/4 *12/7 252/28 =9 gallons Now add 9 to the options whichever adds up to 12 is the answer Option A) 3+9=12 Correct Option B) 9+4=13 Option C) 9+5=14 Option D) 6+9=15 None adds upto 12 except A so A is the answer.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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