Question

5 doctors can complete a work in 14 days and 5 assistants take 28 days to complete the work. How many days will 10 doctors and 5 assistants take to complete the work?

• A. Cannot be determined
• B. 7
• C. 42/5
• D. 21/5
• E. 28/5 days

Answer 1

The correct option is A

Cannot be determined

1 doctor's 1 day's work $=\frac{1}{70}$; 1 assistant's 1 day's work $=\frac{1}{140}$
(10 doctor + 5 assistant)'s 1 day's work $=(\frac{10}{70}+\frac{5}{140})=(\frac{1}{7}+\frac{1}{28})=\frac{5}{28}$
$\therefore$ 5 doctors and 10 assistants will complete the work in 5.6 days.