Question : A can do a piece of work in 25 days, and B can do the same in 30 days. They work together for 5 days, how much of the work is left?
Option 1: $\frac{11}{30}$
Option 2: $\frac{15}{30}$
Option 3: $\frac{19}{30}$
Option 4: $\frac{12}{30}$
Correct Answer: $\frac{19}{30}$
Solution : Given: A can do a piece of work in 25 days. B can do the same work in 30 days. Total work = LCM of (25, 30) = 150 units Efficiency of A = $\frac{150}{25}=6$ units/day Efficiency of B = $\frac{150}{30}=5$ units/day Total work done in 5 days = 5 × 11 = 55 units Remaining work = 150 – 55 = 95 units Remaining part of work left = $\frac{95}{150}=\frac{19}{30}$ Hence, the correct answer is $\frac{19}{30}$.
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Question : A can complete a work in 8 days and B can complete the same work in 11 days. How many days will they take, if both work together?
Option 1: $4 \frac{12}{17}$
Option 2: $5 \frac{12}{19}$
Option 3: $4 \frac{11}{19}$
Option 4: $4 \frac{12}{19}$
Question : A can-do $\frac{1}{5}$ of a piece of work in 20 days, B can do 30% of the same work in 36 days, and C can do 80% of the same work in 160 days. B and C together started and worked for x days. After x days B left the work, and A joined C and both completed the remaining work in (x - 41) days. If the ratio between the work done by (B + C) together to the work done by (A + C) together is 19: 6, then what fraction of the same work can be completed by C alone in 2x days?
Option 1: $\frac{57}{100}$
Option 2: $\frac{13}{25}$
Option 3: $\frac{19}{25}$
Option 4: $\frac{6}{25}$
Question : John can do a piece of work alone in 20 days, while Ravi can do the same piece of work alone in 28 days. In how many days can the duo complete the same work if they work together?
Option 1: $11 \frac{1}{3}$
Option 2: $12 \frac{2}{3}$
Option 3: $11 \frac{2}{3}$
Option 4: $12 \frac{1}{3}$
Question : A and B can do a piece of work in 25 days. B alone can do $66 \frac{2}{3}$% of the same work in 30 days. In how many days can A alone do $\frac{4}{15}$th part of the same work?
Option 1: 18
Option 2: 15
Option 3: 12
Option 4: 20
Question : A can do $\frac{4}{5}$th of a work in 20 days and B can do $\frac{3}{4}$th of the same work in 15 days. They work together for 10 days. C alone completes the remaining work in 1 day. B and C together can complete $\frac{3}{4}$th of the same work in:
Option 1: 6 days
Option 2: 8 days
Option 3: 5 days
Option 4: 4 days
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