Barry can do a certain job in 3 hours, whereas it takes Sanchez 5 hours to do the same job. how long would it take them to do the job working together?
1/3 + 1/5 = 8/15 jobs per hour is the rate of working together. Therefore
15/8 hour it the time need to do one job together. That would be 1 7/8 hours, or 1 hour and 52 1/2 minutes
To find out how long it would take Barry and Sanchez to do the job together, we need to calculate their combined work rate.
Work rate is defined as the amount of work a person can complete per unit of time. In this case, it is given that Barry can do the job in 3 hours, so his work rate is 1 job/3 hours, and Sanchez can do the job in 5 hours, so his work rate is 1 job/5 hours.
To find their combined work rate, we add their individual work rates together: 1/3 job per hour + 1/5 job per hour = 8/15 job per hour.
Now, we can find the time it takes for them to do the job together by using the formula:
Time = 1 / Combined work rate
Substituting the combined work rate into the formula, we get:
Time = 1 / (8/15) = 15/8 hours
So, it would take Barry and Sanchez 15/8 hours, or 1 hour and 52.5 minutes, to complete the job together.