US Customary Linear Measurements

A construction crew has a spool containing exactly $\frac{1}{4}$ mile of underground cable. They use $120 \frac{2}{3}$ yards of the cable for their first trench and $412$ feet $8$ inches of the cable for their second trench. How much cable remains on the spool?

A carpenter is preparing to install baseboards in a room. One specific section of the wall requires a continuous board that is exactly $2$ yards and $2$ feet long. What is the required length of this board in inches?

A surveyor is mapping four sections of a property perimeter, with measurements recorded in different US customary unit formats. Arrange these four sections in order from the shortest length to the longest length.

A tailor is combining two pieces of fabric to make a continuous banner. One piece is $3 \frac{1}{2}$ yards long, and the second piece is $1 \frac{1}{4}$ yards long. After joining them together end-to-end, the tailor needs to cut the combined fabric into smaller segments that are each $15$ inches long. How many complete segments can the tailor cut from the combined fabric?

An electrician needs to organize four pieces of copper wire. Arrange the following wire lengths in order from shortest to longest.

A landscaper places two lengths of wooden garden edging end-to-end to border a flower bed. The first piece is $7 \frac{1}{2}$ feet long, and the second piece is $4 \frac{1}{2}$ feet long. What is the total length of the edging in inches?

A warehouse worker is stacking identical shipping boxes. Each box is exactly $16$ inches tall. If the worker creates a single stack of $3$ boxes, what is the total height of the stack in feet?

An HVAC technician is installing a straight run of ventilation ductwork that must be exactly $4$ yards and $2$ feet long. The ducting material comes in standard pre-cut sections that are exactly $20$ inches long. The technician connects these sections end-to-end. Once the connected sections exceed the required length, the excess material is cut off from the final section so the ductwork matches the exact required length. How many inches of material will be cut off and discarded from the final section?

A stage crew is connecting two sections of metal piping end-to-end to build a vertical pole for a lighting rig. The bottom section is $2 \frac{1}{2}$ yards long. The top section is $4$ feet $6$ inches long. What is the total height of the assembled pole in yards?

A civil engineer is evaluating four proposed segments for a new neighborhood walking trail. To properly allocate paving materials, the segments must be organized by length. Arrange the following trail segments in order from shortest to longest.

A county maintenance crew is installing reflective markers along a newly paved road that is exactly $1$ mile long. They completed the work over three days. On the first day, they marked $\frac{1}{4}$ of a mile. On the second day, they marked $\frac{1}{6}$ of a mile. On the third day, they marked a section measuring $300$ yards, $1$ foot, and $8$ inches. What is the length of the road that still needs markers, in feet and inches?

A metal fabricator starts with a single steel rod that measures exactly $4$ yards and $2$ feet in length. From this rod, they cut $7$ identical segments, each measuring exactly $1$ foot and $5$ inches long. Assuming no material is lost during the cutting process, how many inches of the steel rod remain?

A park director is planning a new $3 \frac{1}{2}$-mile nature trail. The first segment of the trail is a dirt path that covers exactly $1 \frac{1}{4}$ miles. The second segment consists of $1,500$ yards of crushed gravel. The final segment is a continuous wooden boardwalk leading back to the visitor center. What is the length of the wooden boardwalk in feet?

A communications technician is preparing four different runs of fiber optic cable for an office building installation. To organize the work, the technician must sort the cable runs from shortest to longest.

Run 1: $115$ yards and $2$ feet
Run 2: $4,188$ inches
Run 3: $\frac{1}{15}$ of a mile
Run 4: $350$ feet and $6$ inches

Arrange the cable runs in order from shortest to longest.

An awning installer is measuring canvas fabric for two separate storefronts. The first storefront requires a continuous fabric length of $1 \frac{3}{4}$ yards. The second storefront requires a length of $2 \frac{1}{2}$ yards. What is the total length of canvas required for both storefronts, expressed in feet and inches?