Question

a high school track teams long jump record is 21 feet and 2 1/4 inches. this year Tims best long jump is 20 feet and 9 1/2 inches. if long jumps are measured to the nearest quarter inch, how much farther must Tim jump to break the record?

Answer 1

4.75 inches.

Step-by-step explanation:

We must introduce the symbols for inches and feet.

Here we will use, x' = x feet and x" = x inches

A high school track teams long jump record is 21 feet and inches i.e. 21'2.25" this year.

Now, Tim's best long jump is 20 feet and inches i.e. 20'9.5".

So, the difference between the record jump and Tim's best jump is

(21'2.25" - 20'9.5")

= (21'2.25" - 21') + (21' - 20'9.5")

= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}

= 4.75"

Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)

Answer 2

4.75 inches.

Explanation:

We must introduce the symbols for inches and feet.

Here we will use, x' = x feet and x" = x inches

A high school track teams long jump record is 21 feet and
`2(1)/(4)` inches i.e. 21'2.25" this year.

Now, Tim's best long jump is 20 feet and
`9(1)/(2)` inches i.e. 20'9.5".

So, the difference between the record jump and Tim's best jump is

(21'2.25" - 20'9.5")

= (21'2.25" - 21') + (21' - 20'9.5")

= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}

= 4.75"

Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)