Question
Download Solution PDFC and B can do a work in 18 days and 24 days respectively. They worked together for 8 days and then C left. In how many days did B finish the remaining work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
C can do a work in 18 days
B can do the same work in 24 days
They worked together for 8 days
Formula used:
Work done by C in 1 day = 1/18
Work done by B in 1 day = 1/24
Work done together in 1 day = 1/18 + 1/24
Remaining work = Total work - Work done together in 8 days
Calculations:
Work done together in 1 day = 1/18 + 1/24
⇒ Work done together in 1 day = (4 + 3)/72
⇒ Work done together in 1 day = 7/72
⇒ Work done together in 8 days = 8 × 7/72
⇒ Work done together in 8 days = 56/72
⇒ Work done together in 8 days = 14/18
⇒ Remaining work = 1 - 14/18
⇒ Remaining work = 4/18
⇒ Remaining work = 2/9
Work done by B in 1 day = 1/24
⇒ Days taken by B to finish remaining work = (2/9) / (1/24)
⇒ Days taken by B to finish remaining work = 2/9 × 24/1
⇒ Days taken by B to finish remaining work = 48/9
⇒ Days taken by B to finish remaining work = 5(1)/3
∴ The correct answer is option (4).
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