One person can complete a task in 3 minutes. A second person can complete the same task in 5 minutes. How long will it take to complete the task of the two people work together?
It would take 2 minutes to complete the task with two people. All you have to do is subtract.
I doubt it. Set 3 and 5 into a fraction, like t / 3 + t / 5 = 1.
Multiply the denominator, to give you 15.
You'll be left with 5t + 3t = 15
8t = 15
8t / 8 = 15 / 8
t = 1.875
= 1.9 min., or 1 min. and 55 seconds
To determine how long it will take for the two people to complete the task together, we can use the concept of rates.
Let's consider the first person's rate of completing the task. We know that this person can complete the task in 3 minutes, so their rate is 1 task per 3 minutes.
Similarly, for the second person, their rate is 1 task per 5 minutes.
When two people work together, their rates are added. So, the combined rate of both people working together is 1 task per 3 minutes + 1 task per 5 minutes.
To find the time it will take for them to complete the task together, we can take the reciprocal of the combined rate. In other words, we invert the combined rate to find how many minutes it would take for 1 task to be completed.
So, the combined rate is 1/3 + 1/5 tasks per minute, which is equal to 8/15 tasks per minute.
Taking the reciprocal of 8/15 tasks per minute, we get 15/8 minutes per task.
Therefore, it will take the two people 15/8 minutes, or 1.875 minutes (or approximately 1 minute and 53 seconds), to complete the task together.