Question
Download Solution PDFP and Q can complete a work in 20 days and 30 days, respectively. P started the work and Q joined him after 5 days. In how many days will the entire work be completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time taken by P to complete the work = 20 days
Time taken by Q to complete the work = 30 days
P worked for the first 5 days alone.
Formula Used:
Total Work = LCM of (Time taken by P, Time taken by Q)
Efficiency = Total Work / Time taken
Work done = Efficiency × Number of days
Calculation:
LCM(20, 30) = 60 units (Total Work)
Efficiency of P = Total Work / Time taken by P = 60 / 20 = 3 units/day
Efficiency of Q = Total Work / Time taken by Q = 60 / 30 = 2 units/day
Work done by P in the first 5 days = Efficiency of P × 5 = 3 × 5 = 15 units
Remaining work = Total Work - Work done by P = 60 - 15 = 45 units
Combined Efficiency of P and Q = Efficiency of P + Efficiency of Q = 3 + 2 = 5 units/day
Time taken by P and Q together to complete the remaining work = Remaining Work / Combined Efficiency = 45 / 5 = 9 days
Total time to complete the entire work = Time P worked alone + Time P and Q worked together = 5 + 9 = 14 days
∴ The entire work will be completed in 14 days.
Last updated on Dec 9, 2024
-> SSC Head Constable (AWO/TPO) 2025 Notification will be announced soon.
-> SSC Head Constable (AWO/TPO) Marks were out for the previous cycle. Candidates could check their marks from the official website till 15th February 2024.
-> The total number of vacancies for the SSC Head Constable 2025 Notification will be declared soon. The candidates earlier appeared for the exam for a total number of 857 vacancies for SSC Head Constable Recruitment for the 2022 cycle.
->The candidates who will be qualified in the CBE gets eligible for the Physical test. Candidates can improve their preparations and score high by referring to SSC Head Constable AWO TPO Previous Years Papers and SSC Head Constable (AWO/TPO) Mock Test.