All Lined Up

Yesterday’s Problem:

A pad of writing paper and a pencil cost a total of $1.10. The paper cost $1.00 more than the pencil. What was the price of each?

Answer:

The paper was $1.05 and the pencil was $.05 – added together equals $1.10, and $1.05-$0.05 equals $1.00.

Today’s Problem:

Five cars are lined up bumper to bumper while traveling on Interstate 5. How many bumpers are touching each other?

How Much Does It Cost?

Last Problem:

Your aging grandmother tells you she was born February 29, 1900. How old is she today?

Answer:

Your grandmother is teasing you – 1900 was not a leap year in the Gregorian calendar.

Today’s Problem:

A pad of writing paper and a pencil cost a total of $1.10. The paper cost $1.00 more than the pencil. What was the price of each?

Which Number is Different?

Question from Yesterday

An express train takes 3 seconds to enter a tunnel which is 3 miles long. If it is traveling 120 miles per hour, how long until it passes completely through the tunnel?

Answer:

93 seconds – the train takes 30 seconds to travel 1 mile, and it travels for 3 miles, so that is 90 seconds, plus the 3 seconds to enter the tunnel.

Today’s Problem

Which number is least like the others below:

1, 3, 5, 7, 9, 11, 13

How Long Does it Take?

Last Problem: 

There are 3 friends at Shannon’s birthday party. Each is allowed to make one vertical cut to the cake. What is the maximum amount of pieces of cake that can be cut?

Answer

Assuming the cake is a normal round cake, 11 pieces can be cut – slices that are not cutting it in half, but partial cuts that intersect each other – draw a round circle and then 4 straight lines through it, but not halving the cake at any time.”

Today’s Problem

An express train takes 3 seconds to enter a tunnel which is 3 miles long. If it is traveling 120 miles per hour, how long until it passes completely through the tunnel?

The Birthday Party

Yesterday’s Problem:

A hungry bookworm finds several volumes of Collier’s encyclopedia on a shelf. He starts at the front cover of the first volume and begins eating, and gets all the way to the back of the back cover of the third volume. If the covers are each 1/2 cm think, and the pages of each volume are 8 cm think, how far did the bookwork get?

Answer:

The answer is “9 cm” – the front cover of the first volume is touching the back cover of volume 2, and the back cover of volume 3 is touching the front cover of volume 2 – so the bookworm only eats through all of volume 2 – you can see this if you place your books against each other.

Today’s Problem

There are 3 friends at Shannon’s birthday party. Each is allowed to make one vertical cut to the cake. What is the maximum amount of pieces of cake that can be cut?