Question
Download Solution PDFA can paint a painting in 12 days. B can paint the same in 8 days. C can paint the same in 10 days. Find the (approximate) number of days in which the painting can be painted by A if he is accompanied by both B and C together on alternate days and A starts painting on the first day alone.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can paint a painting in 12 days.
B can paint the same in 8 days.
C can paint the same in 10 days.
Concept Used:
Work = Time × Efficiency
Calculation:
Total work = LCM(12, 8, 10) = 120
Efficiency of A = 120/12 = 10
Efficiency of B = 120/8 = 15
Efficiency of C = 120/10 = 12
According to question,
A if he is accompanied by both B and C together on alternate days. A start alone on first day.
Work completed in 2 days = 47
Work completed in 4 days = 47 × 2 = 94
Work completed in 5 days = 94 + 10 = 104
Remaining work = 16
Time to complete 16 units of work by three of them = 16/37 = 0.4 days
Total number of days required to complete the work = 5 + 0.4 = 5.4 days
∴ Option 2 is the correct answer.
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