Answer :
Final answer:
Maria and Castel working together would take approximately 6.51 hours to install the desk. The calculation combined their individual rates of work and divided the total work by this combined rate.
Explanation:
This question is a classic problem in work-rates, which falls under the Mathematics subject, affecting the grade level of High School. Here's how to solve it: Maria can install a desk in 11 hours, so her work rate is 1 desk/11 hours = 0.091 desks per hour. Castel can install the same desk in 16 hours so his work rate is 1 desk/16 hours = 0.0625 desks per hour.
If they work together, simply add their work rates to get the combined rate. So, 0.091 + 0.0625 = 0.1535 desks per hour. To find how long it would take them to install one desk together, divide the total work (1 desk) by their combined work rate: 1 desk / 0.1535 desk/hours = approximately 6.51 hours.
So, Maria and Castel would take 6.51 hours to install the desk if they worked together without wasting any time, rounding it to the nearest hundredth.
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