Question

Neville, Deane, and Fenix work in the administrative office, and their task is to file their clients' documents. They file 4, 6, and 10 documents, respectively, in an hour.

If all of them work together to file 240 documents for $\$240$, find how much Fenix will earn.

• A. $\$100$
• B. $\$48$
• C. $\$72$
• D. $\$120$

Answer 1

The correct option is D $\$120$

Total number of documents to be filed = 240

Total documents filed by Neville, Deane, and Fenix in 1 hour = 4 + 6 + 10 = 20

∴ Time taken to file 240 documents
$=\frac{\text{Total documents}}{\text{Number of documents filed in 1 hour}}$

$=\frac{240}{20}$

$=12\text{hours}$

So,
Number of documents filed by Neville in 12 hours = 4 × 12 = 48

Number of documents filed by Deane in 12 hours = 6 × 12 = 72

Number of documents filed by Fenix in 12 hours = 10 × 12 = 120

$\text{\$240 will be divided in the ratio of their}$
$\text{work done.}$

So, the ratio of the three people can be written as:
Neville:Deane:Fenix = 48:72:120

$\text{Share of Fenix}=\frac{120}{48+72+120}\times \$240$

$=\frac{120}{240}\times \$240$

$=\$120$

Thus, Fenix earns $120.