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# Car Owner Puzzles

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Car Owner Puzzles contains real challenges car owners meet everyday: Where to choose the gas? How much does it cost? Is it worth to take a loan? when do I change the tires? . . .

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### Car Owner Puzzles

1. 1. Car Owner’s Puzzles puzzles car owners meet in their everyday life 20016, ©Aplusclick
2. 2. 1. On time Mr. Rapid always starts driving on a road at exactly 7:00 a.m. If he drives on cruise control at 42 miles per hour, he arrives at work late. If he sets the cruise control to 48 miles per hour, he arrives at work early. The amount of time he is early is also the amount of time he is late. How fast should he go to get to his office exactly on time? Answer 20016, ©Aplusclick
3. 3. 2. Tires The rear tires of my car wear out after 60,000 miles, whilst the front tires wear out twice as fast. Estimate how many miles I can drive if I change the tires (front and rear) at the best moment. Answer 20016, ©Aplusclick
4. 4. 3. Stop A car traveling with speed 12 meters per second decelerates uniformly until it comes to rest for 4 seconds. What is the total distance the car travels as it decelerates? Answer 20016, ©Aplusclick
5. 5. 4. Timing A very old car takes 2 hours 48 minutes to get to my granny's house, 84 km away. How long would it take at this speed for me and Jane to go to a party in the city center tonight, 12 km away? Answer 20016, ©Aplusclick
6. 6. 5. Visibility A driver's eyes are about 1.3 m above the ground, while the hood is 2 m in front of him and 0.8 m above the ground. What is the minimum distance in front of the hood an object on the ground can be visible? Answer 20016, © Gerry Geek geek.aplusclick.com
7. 7. 6. Choice My car uses 10 liters / 100 km and has a 70-liter tank. The Village Garage sells fuel for \$1.40 per liter. It is just several meters from my house. Several garages outside the village sell fuel for \$1.36 per liter. How far could the garage be so that it is worthwhile to drive to and back from the garage to refuel? Answer 20016, ©Aplusclick
8. 8. 7. Gas Gerry drives to his work 4 days per week and his office is 10 miles away from his home. His car drives 40 miles with a gallon. If gas was \$2.49 per gallon, how much would Gerry spend on gas in a month (4 weeks)? Answer 20016, ©Aplusclick
9. 9. 8. Discovery Engineers at a race company make three discoveries. The first invention saves 50% of fuel, the second 30%, and the third 20%. If the company uses all three innovations at once, how much fuel does a car consume compared with a normal car? Answer 20016, ©Aplusclick
10. 10. 9. Loan John buys a bus, paying 20% in cash. The rest of the amount is paid by a special interest-free loan. He pays \$680 a month for 5 years. Find the total amount paid for the bus. Answer 20016, ©Aplusclick
11. 11. 10. Parking One by one, 40 cars enter a company parking lot with 40 assigned places. The first driver forgets his place number and takes a random place. The remaining drivers take their assigned place, if available, or take a random place. What’s the probability that the last driver ends up in his original assigned place? Answer 20016, ©Aplusclick
12. 12. 11. Maintenance James bought a new car for \$30,000. Each year it depreciates (loses value) at a rate of 20%. The maintenance costs \$3,000 the first year and it increases by 20% each year. When does the maintenance cost exceed the value of the car? Answer 20016, ©Aplusclick
13. 13. 12. Monthly fee Gerry drives to his work 4 days per week and his office is 10 miles away from his home. His car drives 40 miles with a gallon. If gas was \$2.49 per gallon, how much would Gerry spend on gas in a month (4 weeks)? Answer 20016, ©Aplusclick
14. 14. 13. Speed Choice Jane sets off from home to Boston at 50 miles per hour (mph). Gerry sets off from home 30 minutes later. What speed does Gerry choose in order to reach the same destination at the same time as Jane, given that he expects be there in 2 hours? Answer 20016, ©Aplusclick
15. 15. 14. Money Back Alex bought a car for \$48,000. Two days later, he sold it to Betty for 5/8 the price he paid for it. Three days later, Betty sold it to Craig for 1/6 less than she paid. Four days later, Craig sold it to Alex for 4/5 what he paid. Alex returned the car to the dealership and received his money back because it was a 10-day money back purchase. How much money did Alex earn on the transactions? Answer 20016, ©Aplusclick
16. 16. 15. Acceleration A car has accelerated from 0 to 144 km per hour in 10 seconds and traveled at the constant speed. How far does it go in the 1 minute from starting? Answer 20016, ©Aplusclick
17. 17. 16. Mirror Why do mirrors reverse right and left instead of up and down? 20016, ©Aplusclick
18. 18. Car Owner’s Puzzles challenging puzzles car owners meet in their everyday life Find the answers in http://www.aplusclick.com/appliedmath.htm