Alekh and alia can together do a piece ofwork in 5 days which alia and amantogether can do in 15 days. After alekhhas been working at it for 4 days andalia for 5 days, aman then takes up andcompletes the work alone in 4 days. Inhow many days can alia do the workalone
Answers
Answer:
Alia alone do the work in 45 Days
Step-by-step explanation:
Let say Alekh Can complete work in X days
=> Alekh 1 day work = 1/X
Let say Alia Can complete work in Y days
=> Alia 1 day work = 1/Y
Let say Aman Can complete work in Z days
=> Aman 1 day work = 1/Z
Alekh and alia can together do a piece of work in 5 days
=> 5/X + 5/Y = 1
=> 5/X = 1 - 5/Y
alia and aman together can do in 15 days
15/Y + 15/Z = 1
Alekh 4 days work = 4/X
Alia 5 Days Work = 5/Y
Aman 4 Days Work = 4/Z
4/X + 5/Y + 4/Z = 1
4/X + 4/Z = 1 - 5/Y
=> 4/X + 4/Z = 5/X
=> 4/Z = 1/X
=> Z = 4X
15/Y + 15/4X = 1
5/X + 5/Y = 1
15/Y + 15/4X = 5/X + 5/Y
=> 10/Y = 5/4X
=> Y = 8X
5/X + 5/Y = 1
=>5/X + 5/8X = 1
=> 45 = 8X
=> X = 45/8
=> Y = 45
=> Z = 45/2
Alia alone do the work in 45 Days
Answer:
Answer:
Alia alone do the work in 45 Days
Step-by-step explanation:
Let say Alekh Can complete work in X days
=> Alekh 1 day work = 1/X
Let say Alia Can complete work in Y days
=> Alia 1 day work = 1/Y
Let say Aman Can complete work in Z days
=> Aman 1 day work = 1/Z
Alekh and alia can together do a piece of work in 5 days
=> 5/X + 5/Y = 1
=> 5/X = 1 - 5/Y
alia and aman together can do in 15 days
15/Y + 15/Z = 1
Alekh 4 days work = 4/X
Alia 5 Days Work = 5/Y
Aman 4 Days Work = 4/Z
4/X + 5/Y + 4/Z = 1
4/X + 4/Z = 1 - 5/Y
=> 4/X + 4/Z = 5/X
=> 4/Z = 1/X
=> Z = 4X
15/Y + 15/4X = 1
5/X + 5/Y = 1
15/Y + 15/4X = 5/X + 5/Y
=> 10/Y = 5/4X
=> Y = 8X
5/X + 5/Y = 1
=>5/X + 5/8X = 1
=> 45 = 8X
=> X = 45/8
=> Y = 45
=> Z = 45/2
Alia alone do the work in 45 Days