Question

A can lay railway track between two specified stations in 16 days, while B can complete the same task in 12 days. When C assists them, they manage to finish the job in just 4 days. How long would it take for C to complete the job on their own?

• A. 8 1/2 days
• B. 9 1/2 days
• C. 9 3/5 days
• D. 10 days

Answer 1

Answer:

C. 9 3/5 days

C’s work per day is:

$\frac{5}{48}$

So, time taken by C alone:

$\frac{48}{5} \text{ days}$

Convert into a mixed fraction:

$48 \div 5 = 9 \text{ remainder } 3$

Thus,

$\frac{48}{5} = 9\frac{3}{5}$

Final Answer

$\boxed{9\frac{3}{5} \text{ days}}$