Question

Working together, jenny and natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken natalie 12 hours. How long would it take jenny to do it alone ?

Answer 1

Answer:

8.99 hours

Step-by-step explanation:

Let $x$ represent the time needed for Jenny to do the job alone.

Let $\frac{5.14}{12}$ represent the proportion of time needed for Natalie to do the job alone.

Similarly, let $\frac{5.14}{x}$ represent the proportion of time needed for Jenny to do the job alone.

Therefore:

$\frac{5.14}{12} + \frac{5.14}{x} = 1$

First, set the common denominator to $12x$:

$\frac{5.14x}{12x} + \frac{61.68}{12x} = 1$

$\frac{5.14x+61.68}{12x} = 1$

Then, multiply both sides by $12x$:

$5.14x+61.68 = 12x$

Next, subtract $5.14x$ from both sides:

$61.68 = 6.86x$

Now, divide both sides by $6.86$:

$8.9913 \approx x$

Therefore, it would take Jenny about 8.99 hours to do the job alone.

Answer 2

Answer: it would take jenny 9 hours to do alone

Step-by-step explanation: