The formula for “Work” Problems that involve two persons is
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
Step 1: Assign variables:
Let x = time to mow lawn together
Step 2: Use the formula:
Step 3: Solve the equation
The LCM of 40 and 60 is 120
Multiply both sides with 120
Answer: The time taken for both of them to mow the lawn together is 24 minutes.
Catherine can paint a house in 15 hours. Dan can paint a house in 30 hours. How long will it take them working together.
Evan can clean a room in 3 hours. If his sister, Faith helps, it takes them two and two-fifths hours. How long will it take Faith working alone?
The following video shows another example of algebra work problems.
Igor can do a job in 20 minutes. Fred can do the same job in 30 minutes. How long will the job take if they both work together?