Puzzled numbers

This one is tricky

 

Its quarter to two. That is 1:45. ( total is 25 cents. 25 cents is a quarter (of a dollar). So quarter to 2 persons).

 

That actually makes sense

 

It actually does make sense.
My best guess is 12:43 CET, but it feels too flat... missing the spark.

 

I gave my family the riddle and the looks on their faces was priceless! My grandmother used to always have a brain teaser, riddle, or joke for our family gatherings and this one made me think of her. She would have loved it and we all would have had a great laugh. Thanks habalala for that game as it made me have a warm fuzzy moment remembering my grandmother. I knew the answer but was trying to think of a silly response to include but got lost going down memory lane

 

Actually, the answer which first came too my mind was 'good time'. Because father is giving some money to his sons.

 

One Two One Two what did you do? You gave the correct answer with the perfect explanation! Chapeau to you.

PnP, I didn't know a silly math is able to trigger such fond memories ..

Solution to game #12

10+15 = 25 cents to two -> the time is a quarter to two.


-Mir85- 4 pts
xristos 5 pts *no points reward in game 12 and 13*
silim 4 pts
12ss12 2 pts
puppiesnponies 1.5 pts
Elemeef 1.5 pts
illy1996 0.5 pts
SahraB 0.5 pts
foreverokc21 0.5 pts

Now, let's see if the next puzzle takes a little longer to solve for all you geniusses.
(Take your time, next isn't up before sunday or even monday).

Game #13

You've got 3000 apples ready for transport from Applemania to Bananaland. The distance is 1000 miles. Your truck is able to carry 1000 apples per load. Every time you drive towards Bananaland your tax is 1 apple per mile. Driving in the direction to Applemania costs you nothing.

Using your truck only, what's the maximal amount of apples you can deliver in Bananaland and how many miles did you do to make a delivery possible and to get back to Applemania afterwards?
Provide a detailed delivery plan.

 

In a straight forward approach, driving from Applemania to Bananaland costs 1.000 apples in road tax which means the entire cargo is gone.
I suppose that will not do so an alternative method has to be devised.

 

Yup.

Yup.

 

Ok. I can give it a try, but I am not sure that the apple tax officers will approve.
Requirements:
- The mile meter on the truck has a resolution of 0.1 miles.
- The truck driver will not go nuts..

While driving towards Bananaland the truck will stop at 0.9 miles,
It will then drive back until the mile counter rounds up to an integer mile.
No tax is payed since the truck has not driven 1 mile in the direction of Bananaland.
This barmy procedure is repeated until the truck reaches Bananaland.
The truck can drive straight back to Applemania with no stops.

Each loop towards Bananaland will take the truck 0.8 miles closer to it's destination, so 1,249 loops of 1 mile length + 0.8 miles for the last loop are needed. This sums up to 1,249.8 miles in the Bananaland direction.
Each route towards Applemania is 1.000 miles.

Since the cargo is 3.000 apples, 3 round trips are needed.
- Maximum amount of apples delivered to Bananaland are 3.000 (no tax)
- Total distance travelled is 3*(1,249.8 +1.000) = 6,749.4 miles.

 

What a nice try!

Too bad, the extra requirements are not in place (it's an old truck and only full miles do count) and even when they were, on your 3rd drive you'll pass the 1 mile mark towards Bananaland and the dedicated apple tax officers will charge you. No escape possible and no 3000 apples will make it to Bananaland. Period.

This message is signed by the appointed Chef Apple Tax.

 

If the truck drives in reverse the whole way, it is not strictly speaking driving towards Bananaland so no tax needs to be paid.

Therefore a total of 1,000 Apples can be delivered each journey and three journeys will enable all 3,000 Apples to be delivered.

Goodness knows how much the wear and tear on the gear box/transmission by driving 3,000 miles in reverse, though!
Sorry, I edited this as I misread how many Apples the truck could hold!

 

+ no miles are counted on the mile meter when going in reverse

Further than using a flying truck, I can only think of one other option.
The road tax of 1.000 apples is prepaid before the journey starts.
Then the truck drives to Bananaland with 1.000 apples and returns.
There are not enough apples left for a second trip, so 1.000 apples are transported to Bananaland on a 2.000 mile round trip.

 

A way to get started is to think about what you would do if you had three trucks. If you can figure that out, you can go back and work out how to do the same with one truck driving back and forth.

 

Ok..
A bit messy but...
- The truck drives to mile 334, pays 334 apples tax and downloads 666 apples,
- It then drives back and fills up again,
- The truck drives to mile 334, pays 334 apples tax and downloads 666 apples, (666+666=1332)
- It then drives back and fills up again,
- The truck drives to mile 334, pays 334 apples tax from the downloaded stock. (Remaining downloaded stock 1,332-334=998,
- It then continues with 1,000 apples until mile 833 and pays 833-334=499 tax. It downloads remaining 501 apples.
- The truck drives back to mile 334, loads up 998 apples and drives until mile 833.
- It pays 499 tax from the downloaded 501 apples and loads the remaining 2.
- It has 998+2=1,000 apples.
- The truck completes the remaining 167 miles, pays 167 apples tax and is at Bananaland.
- The sum of apples reaching Bananaland is 1,000-167=833 apples.

Total travel is 334*2+334*2+833+2*(833-334)+167=3,334 miles

 

1. We cannot take entire 1000 apples and travel 1000 miles as then no apples would be left.

2. So travelling 1/2nd or 1/4th r 3/4th or 1/3rd or 2/3rd might be logical.

3. ½
500 miles = 1000 apples = 500 apples left
3 loads = 1500 apples left
Remaining 500 miles = 1000 apples ; 500 apples left
Rest 500 is not worth coming back & taking as it will be paid as 500 taxes

4. 1/4th
250 miles
750 apples left
3 loads = 2250 apples left
Remaining 750 miles = 250 apples left for one full load
2loads = 500 apples left
Remaining 250 not worth going back.

5. 3/4th
750 miles
250 apples left
3 loads = 750 left
Remaining 250 miles = 500 left out of 750 apples.

6. 1/3rd
333 miles = 1000 apples = 667 apples left
3 loads = 2001 apples left
Remaining 667 miles = 667 apples as tax = 333 apples left
So far 2 loads = 666 apples left.
Remaining 1 is not worth going back & taking.
So 1/3 rd is economical

& we can further split the remaining 667 miles as 500 + 167 miles.
500 miles = 500 left
2 loads = 1000 left (leave out the 1 odd apple)
167 miles
1000 = 1000-167 = 833 apples.

OR
We can also split the remaining 2/3rd into half and we get 333 miles + 334 miles which will leave us with 667 and odd.


So splitting 1000 miles into 333 + 500 +167 will give best result and we will be left with 833 apples.
Total number of miles in that case will be
333 + 333+ 333+333+333+ 500+500+500+167 = 3332 miles

 

Well done both of you Now the only question remaining is:

Can I have it? with my hot air balloon there is no tax

 

Sure Mir,
Here is that one for you.

 

Thank you, that looks like a perfect apple

 

It sure was a challenge to figure this one out and I'm happy to see both xristos and One Two managed to deliver the possible max 833 apples to Bananaland. Good job! But while being focussed on the delivery both forgot to drive back to Applemania afterwards..

Thanks to Mir for being helpfull as ever.

I also wish to thank Illy for the lovely attempt to fool Chef Apple Tax by driving in reverse. Being an official, with a big smile on his face he took all apples as any mile away from Applemania counts, no matter in what position or condition the truck is.

Solution to Game #13

Stage 1: 3 trips with 1000 apples for 333 miles.
Tax = (3*333) 999 apples so you're left with (3000-999) 2001 apples and still (1000-333) 667 miles to go.
Distance = 3* forth and 2* back over 333 miles = 5*333 = 1665 miles

Stage 2: 2 trips with 1000 apples for 500 miles.
Tax = (2*500) 1000 apples so you're left with (2000-1000) 1000 apples and still (667-500) 167 miles to go.
Distance = 2* forth and 1* back over 500 miles = 3*500 = 1500 miles. Total is 1665+1500 = 3165 miles

Stage 3: Last trip prior to delivery is with 1000 apples for 167 miles.
Tax = 167 apples so you arrive in Bananaland with (1000-167) 833 apples.
Distance = 1* forth over 167 miles. Total is 3165 + 167 = 3332 miles.

To get back to Applemanania = 1000 miles, total = 3332 + 1000 = 4332 miles

Due to general rules xristos doesn't earn points this round, 12ss12 does (even without perfect answer), I'll grant Illy 0.5 pts.

xristos 5 pts *no points reward in game 12 and 13*
-Mir85- 4 pts
silim 4 pts
12ss12 3 pts *wins CAC or PPP* *no points reward in game #14*
puppiesnponies 1.5 pts
Elemeef 1.5 pts
illy1996 1 pts
SahraB 0.5 pts
foreverokc21 0.5 pts

Game #14

What is the outcome when you
1) add up
2) divide
3) subtract
4) multiply
the numbers 1 - 9 in sequence and what do you get if you do so in reversed order (9 - 1)?

Additional question: When number 4 is out, can you add up to 12 using three times the same number? Answer with yes or no.