solve the question with explanation.
Answers
Answer:
Solution 1:
LCM(11,20,55) = 220.
Let total work is 220 units such that,
Work done by A in 1 day = 220 / 11
= 20 units
Work done by B in 1 day = 220 / 20
= 11 units
Work done by C in 1 day = 220 / 55
= 4 units
First day, A and B work and completes 20+11=31 units of work
Second day, A and C work and completes 20+4=24 units of work
So, in every 2 days, 31+24=55 units of work gets completed.
in 8 days, 4×55=220 units of work gets completed.
Therefore, ans is 8 days
Solution 2 :
Work done by A in 1 day = 1 / 11
Work done by B in 1 day = 1 / 20
Work done by C in 1 day = 1 / 55
Work done in 1st day = 1/11+1/20
=31/220
Work done in 2nd day = 1 / 11 + 1 / 55
= 6 / 55
Work done in every two days = 31 / 220 + 6 / 55
= 1 / 4
Work done in 8 days = 4 × 1 / 4
= 1
i.e., 8 days are required.
So, (b) 8 days is the correct answer
I hope it will help you