A man X can complete one-third of a job in 5 days and another man Y can complete two-fifths of the job in 10 days. In how many days can both X and Y together complete the job?

A9 and three-eighths ✓ Correct

B8 and three-eighths

C9 and three-fifths

D7 and seven-ninths

Correct answer: (A) 9 and three-eighths

Explanation

Together they take 9 and 3/8 days.

X does 1/3 in 5 days, so X needs 15 days for the whole.

Y does 2/5 in 10 days, so Y needs 25 days for the whole.

Combined rate = 1/15 + 1/25 = 8/75 per day.

Time = 75/8 = 9 and 3/8 days.

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