Sammy can complete a programming job in 8 hours if he works alone.
Marilyn can complete the same programming job in 12 hours if she works alone.
If Sammy and Marilyn work together, how many hours and minutes will they complete the job
S --> 1/8 program per hr
M --> 1/12 prog / hr
together 1/8 + 1/12 = 3/24+2/24 = 5/24 prog/hr
so 24/5 = 4 4/5 hr/prog
4/5 hr * 60 min/hr = 48 minutes
so
4 hours and 48 minutes
48 hours ... due to both coming up with different ways of creating the program, meeting time to compromise both of their designs, added time to meld both their pieces together, and added time to quality check when the two pieces don't work together.
To find out how long it will take Sammy and Marilyn to complete the job together, we can use the concept of work rate.
First, let's calculate Sammy's work rate. Sammy can complete the job in 8 hours, so his work rate is 1 job per 8 hours, or 1/8 jobs per hour.
Next, let's calculate Marilyn's work rate. Marilyn can complete the job in 12 hours, so her work rate is 1 job per 12 hours, or 1/12 jobs per hour.
When Sammy and Marilyn work together, their work rates are additive. So, their combined work rate is:
Combined work rate = Sammy's work rate + Marilyn's work rate
= 1/8 jobs per hour + 1/12 jobs per hour
To add two fractions, we need to find a common denominator. In this case, the common denominator is 24. So, we can rewrite the work rates as:
1/8 jobs per hour = 3/24 jobs per hour
1/12 jobs per hour = 2/24 jobs per hour
Now, we can add the work rates together:
Combined work rate = 3/24 jobs per hour + 2/24 jobs per hour
= 5/24 jobs per hour
To find the time it will take them to complete the job, we can use the formula:
Time (hours) = 1 / combined work rate
Plugging in the value for the combined work rate:
Time (hours) = 1 / (5/24) jobs per hour
= 24/5 hours
To convert this to hours and minutes, we can divide the total hours by 1 hour and then multiply the decimal part by 60 to get the minutes:
24/5 hours = 4 hours and 48 minutes
Therefore, Sammy and Marilyn will complete the job together in 4 hours and 48 minutes.