Question : Z1 and Z2 together complete a work in 15 days. Z2 alone can complete the same work in 30 days. They took Rs. 2,000 to complete the work together. What will be the share of Z1?
Option 1: Rs. 1,500
Option 2: Rs. 2,000
Option 3: Rs. 1,000
Option 4: Rs. 500
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Correct Answer: Rs. 1,000
Solution : Given: Z1 and Z2 together complete a work in 15 days. Their 1 day's work = $\frac{1}{15}$ Z2 alone can complete the same work in 30 days. Z2's 1 day's work = $\frac{1}{30}$ $\therefore$ Z1's 1 day's work = $\frac{1}{15}-\frac{1}{30}=\frac{1}{30}$ So, Z1 alone can complete the same work in 30 days. Their work ratio = 30 : 30 = 1 : 1 The share of Z1 = $\frac{1}{2}\times 2000=$ Rs. 1,000. Hence, the correct answer is Rs. 1,000.
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Question : A, B, and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?
Option 1: 60 days
Option 2: 30 days
Option 3: 15 days
Option 4: 20 days
Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 3: 12 days
Option 4: 15 days
Question : K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together to complete the work and receive a total of Rs. 3,900 as payment for doing the work. What is the share of the person who received the maximum amount?
Option 1: Rs. 1,200
Option 2: Rs. 2,400
Option 3: Rs. 2,000
Option 4: Rs. 1,600
Question : P alone can complete a work in 15 days and Q alone can complete the same work in 12 days. They start the work together but after 3 days P leaves the work. How much time will Q take to finish the remaining work?
Option 1: 7.2 days
Option 2: 7.8 days
Option 3: 8.5 days
Option 4: 6.6 days
Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Option 1: $15$ days
Option 2: $16$ days
Option 3: $14 \frac{4}{5}$ days
Option 4: $15 \frac{1}{5}$ days
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