Question
Download Solution PDFRaja 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.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(Raja + Rocky) can complete painting work = 5 days
Formula used:
Total work = efficiency × time
Calculation:
According to the question:
⇒ (Raja + Rocky) × 2 + Raja × 4 = (Raja + Rocky) × 5
⇒ Raja × 4 = (Raja + Rocky) × 3
⇒ Raja × 1 = Rocky × 3
⇒ Raja/Rocky = 3/1
Total work = (Raja + Rocky) × 5
⇒ (3 + 1) × 5 = 4 × 5
⇒ 20 units
Time taken by Rocky alone to complete the painting work = 20/1 = 20 days
∴ The correct answer is 20 days.
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