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? . . .

1. Car Owner’s Puzzles
puzzles car owners meet in their everyday life
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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17. 16. Mirror
Why do mirrors reverse right and left
instead of up and down?
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18. Car Owner’s Puzzles
challenging puzzles car owners meet
in their everyday life
Find the answers in http://www.aplusclick.com/appliedmath.htm