Word Problem's

G

Guest

Guest
]The smiths were about to start on an 18,000- mile automobile tril. They had their tires checked adn found that each was good for only 12,000 miles. What is the smaalest number of spares that they will need to take along with them to make the trip without having to buy new tires?[/size]
 
Hello, bware!

Hey, a new puzzle (new to me) . . . thank you!

The Smiths were about to start on an 18,000-mile automobile trip.
They had their tires checked and found that each was good for only 12,000 miles.
What is the smallest number of spares that they will need to take along with them
to make the trip without having to buy new tires?
Click to expand...
I have the correct answer . . . I won't give the complete solution until later.

I reasoned it like this:
There are four tires on the road at any time.
Each will travel 18,000 miles for a total of 72,000 miles.

Since each tire lasts only 12,000 miles then must be replaced,
\(\displaystyle \;\;\)the Smiths will need a minimum of 6 tires (two spares).

The next challenge was to work out a tire-switching strategy
\(\displaystyle \;\;\)that will get them to their destination, using only two spares.

I found one . . . but I'll let you guys enjoy the problem first, though.
 
Soroban is correct IF the spare is only good for 12,000 miles. Being rich, I bought one new 50,00 mile spare tire. I can make it with 5 tires.
-----------
Gene
 
Hmmm, I guess I goofed. I can't get by with 5 anymore. :oops: I get stuck at 15,000 miles.
-------------------
Gene
 
Gene said:
Hmmm, I guess I goofed. I can't get by with 5 anymore. :oops: I get stuck at 15,000 miles.
-------------------
Gene
Click to expand...
Gene, I think you can go 16,000 ; use your new spare tire right away!
 
Denis,
Now if you can find another 2,000... I thought I had them but they vanished while I was having supper. :twisted:
-------------
Gene
 
16,000 is the best you can do with 1 expensive spare that's good
for at least 16,000 miles; trade it in after 16,000 miles, for 4 used
tires that can go 2000 miles :idea:
 
You must log in or register to reply here.
Top