aman,baman and chaman can do a work in 15, 20 and 25 days. however, while working with someone efficiency of aman, baman and chaman reduces by 30%, 20% and 50%. none of them is allowed to work for 3 consecutive days. what is the maximum fraction of total work can be done in 4 days
Answers
Let the job be of L.C.M.(15, 20, 25) = 300 units.
The number of units completed by Aman, Baman and Chaman in a day while working alone on the job are
20, 15 and 12 respectively.
The number of units completed by Aman, Baman and Chaman in a day while working on the job with
somebody else are 14, 12 and 6 respectively.
Aman, Baman and Chaman together complete 14 + 12 + 6 = 32 units of work in a day.
The number of units completed will be 32 + 20 + 18 + 32 = 102.
hence 102/300 = 17/50
Answer:
17/50
Step-by-step explanation:
Let the job be of L.C.M.(15, 20, 25) = 300 units.
The number of units completed by Aman, Baman and Chaman in a day while working alone on the job are
20, 15 and 12 respectively.
The number of units completed by Aman, Baman and Chaman in a day while working on the job with
somebody else are 14, 12 and 6 respectively.
Aman, Baman and Chaman together complete 14 + 12 + 6 = 32 units of work in a day.
The number of units completed will be :
A+B+C = 32
A+B = 26
C = 12 (working alone so efficiency = 12)
A+B+C = 32
Total Work = 102
hence 102/300 = 17/50