Road repairs

A 16 1/2 kilometer stretch of road needs repairs. Workers can repair 2 1/4 kilometer of road per week. How many weeks will it take to repair this stretch of road?

Correct answer:

w =  7.3333

Step-by-step explanation:

$$\begin{gathered} s=16{\displaystyle \frac{1}{2}}={\displaystyle \frac{16\cdot 2+1}{2}}={\displaystyle \frac{33}{2}}=16.5\text{ km } \\ r=2{\displaystyle \frac{1}{4}}={\displaystyle \frac{2\cdot 4+1}{4}}={\displaystyle \frac{9}{4}}=2.25\text{ km } \\ w=s\mathrm{/}r=16.5\mathrm{/}2.25={\displaystyle \frac{22}{3}}=7\frac{1}{3}=7.3333 \end{gathered}$$

Try another example

Related math problems and questions:

• Road repair
  Road repair took 10 days for 36 workers if they worked 9 hours a day. How many days take repair same road 37 workers if they work 8 per day?
• The port
  Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port? How many t
• Division
  Which number in division 16 give 12 and the rest 3?
• Divide 11
  Divide the product of 4 and 5/8 by 1 1/2. Write your answer as a mixed number.
• MPG
  252 miles a week fills up twice a week. Each fill is 38 gallons. What is the gas mileage of the car?
• Numbers division
  With what number should be divided mixed number 2 3/4 to get 11/12?
• After 16 years
  After 16 years will Dana be five times older as she was four years ago. After how many years will Dana celebrate her 16th birthday?
• Identical cubes
  From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm?
• Petra
  Petra has 2 2/5 of a bag full of cat premium food. Her cat eats 2/95 of a pack per day. How many weeks does food last if a cat eats the same amount of food every day?
• Hens
  11 hens will eat spilled grain from 6AM to 16 PM. At 11 hour grandmother brought 4 hens from the neighbors. At what time was grain out?
• Reciprocal value 2
  Annabelle is making burger patties if each burger patty needs 1/16 kilogram of beef. How many patties can she make with a kilo of beef?
• Car - road
  Car started at 11:40 at speed 54 km/h from A and to B arrived at 12:20. Determine the distance A and B.
• Three ships
  There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks the ships will meet in the port for the first time? How many times have
• Forestry workers
  In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day?
• Largest squares
  How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm?
• The distance
  The distance between two towns on a given map is 3 ½ cm. If ½ cm represents 6km. , what is the distance between the two towns?
• Willie
  Willie collected 6 2/3 pails of water. How many big containers can she fill each container contains 2 2/9 of a pail?