Question
Download Solution PDFJitesh and Kamal can complete a certain piece of work in 7 and 16 days, respectively, They started to work together, and after 2 days, Kamal left. In how many days will Jitesh complete the remaining work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Jitesh can complete the work in 7 days
Kamal can complete the work in 16 days
They worked together for 2 days, then Kamal left
Formula used:
Work done by Jitesh in 1 day = 1/7
Work done by Kamal in 1 day = 1/16
Work done together in 1 day = (1/7) + (1/16)
Remaining work = Total work - Work done in 2 days
Calculation:
Work done together in 1 day = (1/7) + (1/16)
⇒ Work done together in 1 day = (16 + 7) / (7 × 16)
⇒ Work done together in 1 day = 23 / 112
Work done in 2 days = 2 × (23 / 112)
⇒ Work done in 2 days = 46 / 112
⇒ Work done in 2 days = 23 / 56
Remaining work = 1 - (23 / 56)
⇒ Remaining work = (56 - 23) / 56
⇒ Remaining work = 33 / 56
Jitesh's rate of work = 1 / 7
Time required by Jitesh to complete remaining work = Remaining work / Jitesh's rate of work
⇒ Time required by Jitesh = (33 / 56) / (1 / 7)
⇒ Time required by Jitesh = (33 / 56) × 7
⇒ Time required by Jitesh = 231 / 56
∴ The correct answer is option (1).
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