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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