Question
Download Solution PDFRonak and Riya can do a work in 12 and 18 days, respectively. They worked together for six days and then Ronak left. Find the time taken by Riya to complete the remaining work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ronak can complete the work in 12 days.
Riya can complete the work in 18 days.
They worked together for 6 days.
Formula Used:
Work done by Ronak in 1 day = 1/12
Work done by Riya in 1 day = 1/18
Work done together in 1 day = (1/12) + (1/18)
Remaining work after working together = Total work - Work done together
Time taken by Riya to complete the remaining work = Remaining work / Work done by Riya in 1 day
Calculation:
Work done by Ronak and Riya together in 1 day = (1/12) + (1/18)
⇒ (1/12) + (1/18)
⇒ (3 + 2)/36
⇒ 5/36
Work done together in 6 days = 6 × (5/36)
⇒ 30/36
⇒ 5/6
Remaining work = 1 - (5/6)
⇒ 1/6
Time taken by Riya to complete the remaining work = (1/6) / (1/18)
⇒ (1/6) × 18
⇒ 3 days
The time taken by Riya to complete the remaining work is 3 days.
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