Back in the 1980’s, Manzy had a car with a 24-gallon gas tank. He started driving one morning with a full tank, heading for Atlanta. The odometer read 3208 miles. He drove most of the day, having stopped at lunch to buy 5 gallons of gas. The gas gauge read exactly of a tank at the point where the odometer read exactly 3668. He still was 130 miles from Atlanta. Back then, gas cost only a dollar and nine cents per gallon. He had two dollars left and no credit cards. Did he make it? Give all details!
Solution
Big organizational job! Manzy had gone 460 miles when he had 6 gallons left in his tank (1/4 of the 24 gallon capacity). Thus he had used 18 gallons of the original full tank, plus the 5 gallons he bought. So he had gone 460 miles on 23 gallons; he was getting 20 miles per gallon.
Manzy still has 130 more miles to go and has 6 gallons of gas, which will take him 120 miles. He also has two dollars. So he can buy enough gas to get to Atlanta.