It takes 10 road workers 5 days to complete a road repair when working 2 hours a day. Working at the same pace, how many days will it take 2 people working 5 hours a day to finish it? Se necesitan 10 trabajadores de la carretera 5 días para completar una reparación de la carretera cuando trabajan 2 horas al día. Trabajando al mismo ritmo, ¿cuántos días tardarán 2 personas trabajando 5 horas al día para terminarlo?
Answers
Answer:
10 Days
Step-by-step explanation:
First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.
Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).
Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.
We now know that 2 workers will need 25 days to finish the work, if hey work for 2 hors a day.
Now the question is what will happen if the two men work 5 hours per day, instead of 2 hours per day?
The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).
Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.
The answer : 10 Days.
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