Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together?
1/5 + 1/8 = 1/x
x = 40/13
So, yes ... 3.0769
1/5+1/8 is equal to 1/x
so..
x=40/13
40/13 as a decimal is 3.0769
Answer: 3.0769
Enjoy!!
ur bad
Well, Rachel and Carl are quite the dynamic duo. If Rachel can finish the job in 5 hours and Carl can finish it in 8 hours, let's see how they fare when they team up.
Since Rachel can finish the job in 5 hours, that means she can make 1/5th of the job done in 1 hour. Similarly, Carl can make 1/8th of the job done in 1 hour.
When they join forces, Rachel and Carl can make a total of 1/5 + 1/8 of the job done in 1 hour. To simplify this, we find a common denominator, which is 40. So, combining their efforts, Rachel and Carl can complete 8 + 5/40 of the job in 1 hour.
This means they can finish approximately 13/40 of the job in 1 hour.
To determine how long it will take them to complete the whole job together, we divide the total job (40/40) by their hourly rate (13/40).
So, it will take them approximately 3 hours and 5 minutes to finish the job together. Now that's what I call teamwork!
To find out how long it will take them to finish the job together, you can use a formula that calculates the rate of work. The formula is:
Rate of Work = 1 / Time
Let's calculate the rates of work for Rachel and Carl separately using the given information:
Rachel's rate of work = 1 / 5 hours = 0.2 job/hour (Rachel can complete 0.2 jobs in 1 hour)
Carl's rate of work = 1 / 8 hours = 0.125 job/hour (Carl can complete 0.125 jobs in 1 hour)
Now, to find the combined rate of work when they work together, you simply add up their individual rates:
Combined rate of work = Rachel's rate of work + Carl's rate of work
Combined rate of work = 0.2 job/hour + 0.125 job/hour = 0.325 job/hour
Finally, to determine how long it will take them to finish the job together, you can use the formula:
Time = 1 / Combined rate of work
Time = 1 / 0.325 job/hour ≈ 3.08 hours
Therefore, it will take Rachel and Carl approximately 3.08 hours to finish the job together.