Question

3.A can do 1/5 of the
given work in 3 days and B can do 1/6
of the same work in 4 days.
They work together for 2 days and B leaves. In how many days will A finish the
remaining work?​

Answer 1

Answer:

11 days 18hours

Step-by-step explanation:

According to given data we have,

• (I)A can complete the amount of work w/5 in 3 days.
• (ii)B can complete the amount of work w/6 in 4 days.
• Hence,from (I) and (ii) we get,

A and B can complete the amount of work w/5/3 and w/6/4 respectively by working alone.

• It is mentioned that

A and B work together for two days and B leaves.

Hence,we get the following relation, •2*(w/5/3 + w/6/4) D*(w/5/3)=w

• orD/15+ 2*(1/15+1/24)=1 or D/15 +2*(13/120)=1
• or D/15=1 - 13/60 =47/60
• or D=47/4=11(3/4) (days)=11 days 18 hours [ ANS]