Discussion

A man completes \(\frac{5}{8}\) of a job in 10 days. At this rate, how many more days will it take him to finish the job ?

Answer: B

Find the daily rate first, then apply it to what is left. Completing \( \tfrac{5}{8} \) in 10 days means

\[ \text{rate} = \frac{5/8}{10} = \frac{1}{16} \text{ of the job per day} \]

The remaining fraction is \( 1 - \tfrac{5}{8} = \tfrac{3}{8} \), so

\[ \text{days} = \frac{3/8}{1/16} = \frac{3}{8} \times 16 = 6 \]

The question asks how many more days, so 6 is the answer; 16 would be the total time for the whole job from the start.

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