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
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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