P and Q can do a work separately in 10 and 20 days respectively. P starts the work and Q joins
him after 5 days. Find the total number of days in which the work was finished?
Answers
Answer:
P can do a work in 12 days, therefore P can do 1/12 part of the work in one day and in 9 days P would complete...
1/12 x 9 = 9/12 or 3/4 part of the work.
The remaining part of the work is...
1 - 3/4 = 1/4 part or quarter of the whole work.
Now Q can do the whole work in 16 days, so Q can do 1/16 part of the work in 1 day.
The remaining part of work is 1/4, and to help P, to complete this portion of the work Q should join P, at certain points in time.
Q would take to complete 1/4 part of the work is.... 1/4 divided by 1/16 = 4 days.
Since P completes 3/4 part of the work in 9 days and Q can complete the balance work in 4 days, Q should join (9–4) 5 days after P had started the work.
5 days is the answer.
Step-by-step explanation:
5 days is the answer
hope it helps