Question
A and B can do a work in 12 days, B and C can do the same work in 15 days and A and C can complete the work in 20 days.Days required by A, B and C working together is (in days) ___
Answer:
:
Let a, b and c be the % of the work done by A, B and C in one day respectively.
A&B can complete the work in 12 days a+b=10012%=8.33%...(i)
B&C can complete the work in 15 days b+c=10015%=6.67%....(ii)
A&C can complete the work in 20 days a+c=10020%=5%....(iii)
Adding (i), (ii) and (iii)
2(a+b+c)=20%⇒(a+b+c)=10%
So, working together they finish 10% of work in a day. So, they can complete the work in 10 days.
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:
Let a, b and c be the % of the work done by A, B and C in one day respectively.
A&B can complete the work in 12 days a+b=10012%=8.33%...(i)
B&C can complete the work in 15 days b+c=10015%=6.67%....(ii)
A&C can complete the work in 20 days a+c=10020%=5%....(iii)
Adding (i), (ii) and (iii)
2(a+b+c)=20%⇒(a+b+c)=10%
So, working together they finish 10% of work in a day. So, they can complete the work in 10 days.
Was this answer helpful ?
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