P’ alone can do a job in 10 days. ‘Q’ alone can do the same job in 20 days. Capacity of R to do the job is in the range from that of P and Q. The maximum number of days all three working together would take to complete the task is _____.
Answers
Given : P’ alone can do a job in 10 days. ‘Q’ alone can do the same job in 20 days.
Capacity of R to do the job is in the range from that of P and Q.
To Find : The maximum number of days all three working together would take to complete the task is
Solution:
P alone can do a job in 10 days
=> P one day work = 1/10
Q alone can do a job in 20 days
=> Q one day work = 1/20
R , 1 day work range from 1/20 to 1/10
The maximum number of days when R = 1/20
Hence 1 day work 1/10 + 1/20 + 1/20
= ( 4 /20)
= 1/5
=>Maximum 5 Days to complete the task
Additional info :
and The minimum number of days when R = 1/10
1/10 + 1/20 + 1/10
= ( 2 + 1 + 2)/20
= 1/4
=>Minimum 4 Days to complete the task
Hence between 4 days and 5 Days hey will complete the work
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