Question
A group of workers can complete a project in 30 days if
they work 6 hours a day. However, due to some constraints, the number of workers available is reduced by 25%, and they can only work 4 hours a day. How many additional days will it take for the reduced workforce to complete the project?Solution
ATQ, Let's calculate how many additional days it will take for the reduced workforce to complete the project. Number of workers = W (let's assume there are W workers) Hours worked per day = 6 Total days to complete the project = 30 days Total work = 30 days × 6 hours/day × W workers = 180W hours Number of workers available = 75% of W (reduced by 25%) Hours worked per day = 4 Total work = (additional days + 30 days) × 4 hours/day × 0.75W workers Now, we want to find out how many additional days it will take for the reduced workforce to complete the project, so we need to set up an equation: 180W = (30 days + additional days) × 4 × 0.75W Now, let's solve for additional days: 180W = (30 + additional days) × 3W Divide both sides by 3W: 60 = 30 + additional days Subtract 30 from both sides: additional days = 60 - 30 = 30 days
P can do a piece of work in 15 days, Q can complete double the work in 40 days and R can do the work in 20 days. If all of them together earn Rs. 3000, ...
- Alex and Ben can complete a job individually in 14 days and 21 days, respectively. If they take turns to work one day each, beginning with Alex, how long w...
‘X’ and ‘Y’ can do a task together in 15 days. If ‘X’ alone takes 25 days to complete it, then how much time will ‘Y’ take to finish the...
‘P’ and ‘Q’ can complete a task together in 24 days. If ‘P’ alone can do it in 40 days, find the number of days ‘Q’ alone will take to f...
A can complete a work in 40 days. B takes 20 days less than A to complete the same work. In how many days can both of them together complete 90% of the ...
P can do a piece of work in 30 days. Q do the same work in 40 days. R can do it in 35 days. P and R worked for 4 days and handed it to Q. Q worked for s...
X can do a piece of work in 15 days. He worked at it for 3 days and then Y finished it in 16 days. In how many days can X and Y together finish the work?
A job is done by 15 men in 30 days and 30 women in 20 days. How many days will it take for 8 men and 12 women to finish the work?
P can do a piece of work in 20 days, Q can do the same piece of work in 24 days while R can do it in 30 days. They started working together but after 4 ...
12 engineers complete designing 180 blueprints in 15 days. If the goal is to complete 270 blueprints in 18 days, how many engineers are required?
