## Al and Fred’s Car Wash

Al washes a car in 6 minutes. Fred washes the same car in 8 minutes. How long will it take them to wash the car together?

There isn’t enough information, thus there’s no one, right answer. (As frustrating as that may be)

This is from the TV show Boy Meets World, season 1 episode 12.

## Making Lots of Shirts

In a textile factory, 5 machines take exactly 5 minutes to make 5 shirts. How many minutes will it take 100 machines to produce 100 shirts?

5 minutes. It takes each machine 5 minutes to make a shirt, so if you have all 100 machines running at the same time, they’ll produce the 100 shirts in 5 minutes.

## Tabitha and Ronan’s Age

Tabitha is 13 years old. Her father Ronan is 40 years old. How many years ago was Ronan four times as old as Tabitha?

Four years ago, when Tabitha was 9 and Ronan was 36 (9 × 4 = 36)

## An Alphabetic Phrase

What phrase can be made using the following letters?

A B C D E F G I

Big-faced.

I wouldn’t suggest calling anyone that, unless you want a big red nose from being punched.

## True, False or Confused?

Which of the following statements are true and which are false?

1. Only one of the statements is false.

2. Exactly two of the statements are false.

3. Only three of the statements are false.

4. Exactly four of the statements are false.

5. All five of these statements are false.

The only true statement is #4 and the rest are false.

## Turning the Years Upside Down

What years from the 1900s and 1800s are the same year when read upside down?

1961 and 1881.

## The Websters’ Busy Day

Mr. and Mrs. Webster were on a holiday shopping excursion. On their way to the car after leaving the store, Mr. Webster complained he was tired from carrying so many packages. Mrs. Webster, the kindly thing that she was, replied, “Quit your complaining Walter! If you gave me just one of your packages, I’d have twice as many as you. And if I gave you one of mine, we’d have the same.”

How many packages were Mr. and Mrs. Webster each carrying?

Mrs. Webster was carrying 7 packages and poor old Mr. Webster was laden with 5.

## Scrambled Animals

Using each of the letters in this phrase only once, rearrange the letters to make the names of exactly three different animals.

Tall elephant or ape man.

1. Panther

2. Antelope

3. Llama

## She Was Never There

Emily’s celebration was a success.

Except nobody invited her.

She was at the celebration but was never really there.

How could this be?

Emily passed away and it was a celebration of her life. Of course you don’t invite the deceased. Her body was in the casket, but Emily the person wasn’t there.

## Alfred’s Tough Cash Request

Alfred is at the bank to cash his $200 check. He tells the cashier he would like some one dollar bills, ten times as many two dollar bills and the rest in fives.

How many of each denomination does the cashier need to give Alfred?

Five $1 bills, 50 $2 bills and 19 $5 bills.

We know that in order to give the rest of the amount in fives, the sum of the one and two dollar bills needs to be divisible by five (i.e. end in 0 or 5).

If we start with a single one dollar bill, we’d need ten two dollar bills to satisfy the request, making $21. But we need a sum that is divisible by 5. So we keep going up, like so:

$1 + $2 * 10 = $21

$2 + $2 * 20 = $42

$3 + $2 * 30 = $63

$4 + $2 * 40 = $84

$5 + $2 * 50 = $105 (Aha! It’s divisible by 5)

$6 + $2 * 60 = $126

$7 + $2 * 70 = $147

$8 + $2 * 80 = $168

$9 + $2 * 90 = $189

So the only option that works is 5 $1 bills and 50 $2 bills, leaving $95 (95 / 5 = 19) to be paid out in 19 fives.

Alfred is one tough customer.