Question : U, V, and W together can complete a work in 10 days. If U can work thrice as fast as V and V can work twice as fast as W, then in how many days W alone can complete the same work?
Option 1: 100 days
Option 2: 90 days
Option 3: 63 days
Option 4: 45 days
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Correct Answer: 90 days
Solution : Let's the rate of work for U, V, and W are U, V, and W, respectively. It is given that U = 3V and V = 2W ⇒ U = 6W According to the question, Total Work = (U + V + W) × 10 ⇒ Total Work = (6W + 2W + W) × 10 = 90W $\therefore$ Time taken by W alone = $\frac{90W}{W}$ = 90 days Hence, the correct answer is 90 days.
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Question : X and Y together can do a piece of work in 45 days. If Y alone can complete it in 180 days, then in how many days X alone can complete the work?
Option 1: 90 days
Option 2: 40 days
Option 3: 60 days
Option 4: 80 days
Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Option 1: 12 days
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
Question : Kapila is thrice as efficient as Vipul and together they can finish a piece of work in 30 days. In how many days Vipul alone can finish the work?
Option 1: 60 days
Option 2: 30 days
Option 3: 90 days
Option 4: 120 days
Question : A alone can complete a work in 16 days and B alone can complete the same work in 96 days. In how many days both A and B together can complete the same work?
Option 1: $\frac{88}{13}$ days
Option 2: $\frac{96}{7}$ days
Option 3: $\frac{96}{13}$ days
Option 4: $\frac{88}{14}$ days
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 3: 15 days
Option 4: 20 days
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