Bricklayers

When a bricklayer works himself to redeem the house in 8 days, the other bricklayer will be finished in 10 days. How long will it take to make 3 such houses together?

Correct result:

x =  13.3333 d

Solution:

$$\begin{gathered} x_1={\displaystyle \frac{1}{{\displaystyle \frac{1}{8}}+{\displaystyle \frac{1}{10}}}}={\displaystyle \frac{40}{9}}\doteq 4.4444\text{ d } \\ x=3\cdot x_1=3\cdot 4.4444={\displaystyle \frac{40}{3}}=13.3333\text{ d} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Bricklayers
  The first bricklayer would build a wall in 3 days, the second in 4 days. The first bricklayer worked alone for a day, then the second bricklayer came to his aid and they finished the work together. How long did it take to build the wall?
• Working together
  One painter paint the nursery in 10 days, the second in 8 days. How many days will the nursery be painted if they work together?
• Three workers
  Three workers A, B, C have to work on a specific task. Workers A and B completed whole task in 14 days, B together with C for 23 days, A together with C for 13 days. How long it would take to complete the task every one of them alone? How long it would ta
• Working together
  One worker performs work in 3 days, the second in 5 days. How much do they work together?
• Reading records
  Lucy, Tereza, and Petra decided to compile the compulsory reading records together. It would take 30 days for Lucia alone, 36 for Tereza and 45 for Petra. How long will it take to make records if they will work together?
• Together 3
  If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
• Bricklayers
  Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days?
• Two brothers
  Two brothers want to collect 20 kg of chestnuts. If only Marek collected, he would make it in 30 minutes. It would take Milan 10 minutes longer. How long after Mark does Milan have to start collecting to be finished in 18 minutes?
• Our house
  Our house would paint four painters in 14 days. How long could it paint five painters? How long will it take if two other painters will come to help after 5 days?
• A report
  Maricris can type a committee report in 5 hours. Jane helped Maricris and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked alone?
• Panel house
  The construction company has two groups of workers. Group A has more members than B. Panel house was insulated by group A in 10 days. The same block of flats was insulated together in 6 days. How many days would group B block insulate?
• Painters
  The first team of painters would paint bridge in 15 days, the second in 10 days. After 3 days of working together second team goes out and continue only first team. How many days took second team to finish painting the bridge?
• Workers
  Two workers fulfill a certain task when working together for 5 days, the first if he worked himself done work in 13 days. How many days will do whole job a second worker?
• One press
  One press will produce one truck of respirators in 3.5 days. The second in 10 days. How long does it take to fill a truck while working together?
• Work at plant
  Handyman has vowed to do repair work at the plant for 25 days. However, work had to be shortened and therefore gained helper. Together they made all the corrections for 13 1/3 days. How long the work would take helper himself?
• Summer tires
  Three tire servants have to change the summer tires on 6 cars in 2 hours. Mark's replacement would take 4.5 hours, Jirka would do it in 3 hours and 10 minutes, and Honza in 4 hours. Will they be able to replace all tires at the desired time?
• Two workers
  Two workers together execute some work in 10 days. The first worker would have done himself in 20 days. How many days would have done himself a second worker?