Scenario #2: It takes Desmond 90 minutes to set up his barrow at the marketplace, while it takes Molly three hours to do the same task. If both Desmond and Molly set up together, how long will it take them to complete the task?
a. Define the problem
The problem is to determine how long it will take Desmond and Molly to set up their barrows at the marketplace if they work together. Desmond takes 90 minutes to set up his barrow, while Molly takes three hours to do the same task.
b. Identify the key information
- Desmond takes 90 minutes to set up his barrow
- Molly takes three hours to set up her barrow
c. Formulate a plan
To find out how long it will take Desmond and Molly to set up their barrows together, we need to calculate the total time it would take for both of them to complete the task if they work together.
d. Solve the problem
1 hour = 60 minutes
Desmond's time = 90 minutes
Molly's time = 3 hours x 60 minutes = 180 minutes
Combined time = 90 minutes + 180 minutes = 270 minutes
Since Desmond and Molly are working together, it will take them 270 minutes or 4 hours and 30 minutes to set up their barrows at the marketplace.
e. Check the solution
To check the solution, we can verify by adding up the individual times:
Desmond: 90 minutes
Molly: 180 minutes
90 + 180 = 270 minutes
Therefore, our solution of 4 hours and 30 minutes is correct.
It will take less time if they work together.
how many barrows per minute for each
D 1 barrow / 90 min
M 1 barrow / 180 min
total barrows in time n = (1/90 + 1/180) t = (3/180) t = 1/60 t which is 1 barrel per hour
so
t = 60 min * n barrels
Based on the calculation provided, if Desmond and Molly work together, they can set up 1 barrow every hour. This means that if they work together for 60 minutes, they can set up one barrow.
Therefore, if they are setting up multiple barrows, the total time required would be:
Total time (t) = 60 minutes * number of barrows (n)
For example, if they need to set up 3 barrows, the total time required would be:
t = 60 minutes * 3 barrows = 180 minutes
This calculation suggests that working together would allow Desmond and Molly to set up their barrows more efficiently, completing the task in less time compared to working individually.