Respuesta :
"Jake can mulch a garden in 30 minutes." So, for 1 min Jake can mulch 1/30 part of a garden.
Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.
If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.
At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.
Now, we can write an equation
[tex] \frac{1}{30} + \frac{1}{x} = \frac{1}{16}
\\ \\ \frac{1}{x} = \frac{1}{16} - \frac{1}{30}
\\ \\ \frac{1}{x} =\frac{30-16}{16*30}
\\ \\ \frac{1}{x} =\frac{14}{16*30}
\\ \\x=\frac{16*30}{14} [/tex]
x≈34.3 (min)
The time taken for ross to mulch the garden when working alone is 34.3 minutes.
- The calculation is as follows:
[tex]\frac{1}{30} + \frac{1}{x} = \frac{1}{16}\\\\ \frac{1}{x} = \frac{1}{16} - \frac{1}{30}\\\\ \frac{1}{x} = \frac{30- 16 }{30\times 16} \\\\x = \frac{16\times 30}{14}[/tex]
= 34.3 minutes
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