To learn the different measures in customary units of length,

**Problem 1 :**

Convert 2 feet into inches.

**Problem 2 :**

Convert 3.5 yards into inches.

**Problem 3 :**

Convert 30 inches into feet.

**Problem 4 :**

Convert 5280 yards into miles.

**Problem 5 :**

Convert 24 feet into yards.

**Problem 6 : **

David travels 60 miles in two hours. How many yards of distance will he cover in one minute ?

**Problem 7 : **

Mark jogged 15840 feet in 45 minutes. Find the speed of Mark in feet per minute.

**Problem 8 : **

Use a fraction to find the length in feet of a shoe that is 9 inches long.

**Problem 9 : **

Kevin has a new television that is 24 inches tall. If Kevin sets the television on a 3-foot-tall stand, how far from the floor will the top of the television be (in inches) ?

**Problem 10 : **

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 10,000 feet. Becky’s treadmill said she had run 2 miles. Who ran farther, and how much farther?

**Problem 1 :**

Convert 2 feet into inches.

**Solution : **

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 feet = 2 ⋅ 12 inches

2 feet = 24 inches

So, 2 feet is equal to 24 inches.

**Problem 2 :**

Convert 3.5 yards into inches.

**Solution : **

**Here, we convert bigger unit into smaller unit. So we have to multiply.**

3.5 yards = 3.5 ⋅ 36 inches

3.5 yards = 126 inches

So, 3.5 yards is equal to 126 inches.

**Problem 3 :**

Convert 30 inches into feet.

**Solution : **

**Here, we convert smaller unit into bigger unit. So we have to divide.**

30 inches = 30 / 12 feet

30 inches = 2.5 feet

So, 30 inches is equal to 2.5 feet.

**Problem 4 :**

Convert 5280 yards into miles.

**Solution : **

**Here, we convert smaller unit into bigger unit. So we have to divide.**

5280 yards = 5280 / 1760 miles

5280 yards = 3 miles

So, 5280 yards is equal to 3 miles.

**Problem 5 :**

Convert 24 feet into yards

**Solution : **

**Here, we convert smaller unit into bigger unit. So we have to divide.**

24 feet = 24 / 3 yards

24 feet = 8 yards

So, 24 feet is equal to 8 yards.

**Problem 6 : **

David travels 60 miles in two hours. How many yards of distance will he cover in one minute ?

**Solution : **

We know that,

1 hour = 60 minutes

1 mile = 1760 yards

**Given :** Distance covered in 2 hours is 60 miles.

Then, we have

Distance covered in 1 hour = 30 miles

Distance covered in 1 hour = 30 ⋅ 1760 yards

Distance covered in 60 minutes = 30 ⋅ 1760 yards

Distance covered in 60 minutes = 52800 yards

Distance covered in 1 minute = 52800 / 60 yards

Distance covered in 1 minute = 880 yards

So, David will cover 880 yards of distance in 1 minute.

**Problem 7 : **

Mark jogged 15840 feet in 45 minutes. Find the speed of Mark in feet per minute.

**Solution : **

Speed = Distance / Time

Speed = 15840 / 45

Speed = 352 feet per minute

So, the speed of Mark is 352 feet per minute.

**Problem 8 : **

Use a fraction to find the length in feet of a shoe that is 9 inches long.

**Solution : **

**Here, we convert smaller unit (inches) into larger unit (foot).**

**So we have to divide.**

Because, 1 foot is equal 12 inches, we have to use the fraction 1/12.

9 inches = 9 ⋅ 1/12 ft

9 inches = 3/4 ft

So, the length of the shoe is 3/4 ft.

**Problem 9 : **

Kevin has a new television that is 24 inches tall. If Kevin sets the television on a 3-foot-tall stand, how far from the floor will the top of the television be (in inches) ?

**Solution : **

**Given : Height of the television is 24 inches. **

**Height of the stand is**

**= 3 feet**

**= 3 **⋅** 12**

**= 36 inches**

**Distance from the floor to the top of the television is **

**= Height of the stand + Height of the television**

**= 36 + 24 **

**= 60 inches**

So, the top of the television is 60 inches far from the floor.

**Problem 10 : **

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 10,000 feet. Becky’s treadmill said she had run 2 miles. Who ran farther, and how much farther?

**Solution : **

**Both Becky and Keith took the same amount of time. That is 20 minutes.**

**Distance covered by Becky and Keith are given in different units. (Miles and Feet)**

**We have to make the units to be same. **

**Let us convert miles in to feet. **

**So,**

**2 miles = 2 **⋅ **5280 feet**

**2 miles = 10560 feet **

**Therefore,**

**Distance covered by Becky = 10560 feet -----(1) **

**Distance covered by Keith = 10000 feet ****-----(2)**

**Difference between (1) and (2) is **

**= 10560 - 10000**

**= 560 feet**

So, Becky ran farther by 560 feet.

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