Raja and Rocky together can complete painting work in 5 days. Together they both start painting, but after 2 days, Rocky falls sick and leaves the work. If Raja completes the remaining painting in 4 days, find the number of days in which Rocky alone can do the work.
This questions was previously asked in
Combined Graduate Level Examination Tier I 2023
Explanation:
- Raja and Rocky together complete the work in 5 days.
- Combined rate: 1/5 work per day.
- After 2 days together: 2 * (1/5) = 2/5 of work is done.
- Remaining work: 1 - 2/5 = 3/5.
- Raja finishes 3/5 of work in 4 days: Raja's rate = (3/5)/4 = 3/20.
- Combined rate = (1/5) = Raja's rate (3/20) + Rocky's rate
- Rocky's rate = 1/5 - 3/20 = 1/20.
- Rocky completes full work in 20 days.
- Option 3: 20 days is correct.
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By: Parvesh Mehta