junaid and ashish can do a piece of work in 12 days, Ashish and ali in 15 days, Junaid and ali in 20 days.in how many days will they finish it together ?
Answers
Answer:
JUNAID +ASHISH (i)
ASHISH + ALI (ii)
JUNAID + ALI (iii)
Step-by-step explanation:
Use the concept of time and work.
All necessary concepts I had explained in picture.
Given : junaid and ashish can do a piece of work in 12 days, Ashish and ali in 15 days, Junaid and ali in 20 days.
To find : in how many days will they finish it together
Solution:
Let say Junaid finish alone in J Days
=> junaid 1 day work = 1/J
Ashish finish alone in A days
=> Ashish one day work = 1/A
Ali finish in L Days
=> Ali 1 day work = 1/L
Together 1 day Work = 1/J + 1/A + 1/L
1/J + 1/A = 1/12
1/A + 1/L = 1/15
1/J + 1/L = 1/20
Adding all
=> 2( 1/J + 1/A + 1/L) = 1/12 + 1/15 + 1/20
=> 2( 1/J + 1/A + 1/L) = (5 + 4 + 3)/60
=> 2( 1/J + 1/A + 1/L) = 1/5
=> 1/J + 1/A + 1/L = 1/10
Hence Together 1 day Work = 1/10
=> Together will finish work in 1/(1/10) = 10 Days
Together they will Finish work in 10 Days
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