Maria, an experienced shipping clerk, can fill a certain order in 8 hours.Felipe, a new clerk, needs 9 hours to do the same job. Working together, how long will it take them to fill the order?
The solution is enter your response here ____hours.
To find the combined rate of Maria and Felipe, we add their individual rates.
Maria's rate is 1/8 orders per hour (since she can fill the order in 8 hours).
Felipe's rate is 1/9 orders per hour (since he can fill the order in 9 hours).
Together, their combined rate is 1/8 + 1/9 = 17/72 orders per hour.
To find out how long it will take them to fill the order together, we can divide 1 by the combined rate:
1 / (17/72) = 72/17 ≈ 4.24 hours
Therefore, it will take them approximately 4.24 hours to fill the order together.
To find out how long it will take Maria and Felipe to fill the order together, we can use the concept of their work rates.
Maria's work rate is 1/8 of the order per hour (as she can complete the order in 8 hours).
Felipe's work rate is 1/9 of the order per hour (as he can complete the order in 9 hours).
When they work together, their work rates are additive. Therefore, the combined work rate is 1/8 + 1/9.
To simplify this fraction, we need to find a common denominator, which is 72.
1/8 can be written as 9/72, and 1/9 can be written as 8/72.
Now, we can add these fractions together: 9/72 + 8/72 = 17/72.
This means that together, Maria and Felipe can fill 17/72 of the order per hour.
To find out how long it will take them to fill the entire order, we can divide 1 by their combined work rate:
1 / (17/72) = 72/17.
Hence, it will take Maria and Felipe approximately 4.235 hours to fill the order together, or rounded to the nearest whole number, it will take them 4 hours.
Therefore, the solution is 4 hours.
To find the time it will take Maria and Felipe to fill the order together, we can use the concept of their work rates.
We know that Maria can fill the order in 8 hours, so her work rate would be 1/8 of the job per hour. Similarly, Felipe takes 9 hours to complete the job, so his work rate would be 1/9 of the job per hour.
To find their combined work rate, we simply add their individual work rates:
Maria's work rate + Felipe's work rate = 1/8 + 1/9
To add these fractions, we need to find a common denominator, which in this case is 72.
1/8 can be multiplied by 9/9 (since 9/9 = 1) to get 9/72.
1/9 can be multiplied by 8/8 (since 8/8 = 1) to get 8/72.
Now we can add these fractions:
9/72 + 8/72 = 17/72
Therefore, Maria and Felipe's combined work rate is 17/72 of the job per hour.
To find the time it will take them to fill the order together, we can use the formula:
Time = 1 / Combined work rate
Time = 1 / (17/72)
To divide by a fraction, we multiply by its reciprocal:
Time = 1 * (72/17)
Time = 72/17
The final answer is approximately 4.24 hours.
So, it will take Maria and Felipe approximately 4.24 hours to fill the order together.