Quantitative Aptitude · Time & Work
E can complete a work in 8 days, and F can complete the same work in 12 days. They work together for 3 days. How much work is still left?
Question
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E can complete a work in 8 days, and F can complete the same work in 12 days. They work together for 3 days. How much work is still left?
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Explanation
Explanation:
Step 1: Daily work of E and F
- E's 1-day work = 1/81/81/8
- F's 1-day work = 1/121/121/12
Step 2: Work done together in 1 day
Work together in 1 day=18+112=324+224=524\text{Work together in 1 day} = \frac{1}{8} + \frac{1}{12} = \frac{3}{24} + \frac{2}{24} = \frac{5}{24}Work together in 1 day=81+121=243+242=245Step 3: Work done in 3 days
Work done in 3 days=3×524=1524=58\text{Work done in 3 days} = 3 \times \frac{5}{24} = \frac{15}{24} = \frac{5}{8}Work done in 3 days=3×245=2415=85Step 4: Remaining work
Remaining work=1−58=38\text{Remaining work} = 1 - \frac{5}{8} = \frac{3}{8}Remaining work=1−85=83✅ Hence, the remaining work is 3/83/83/8.