A and B can do a work in 30 days and 10 days, respectively. If they start the work with A and work on alternate days, in how many days will the work be complete?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. days .
A's 1 day work = 1/30
B's 1 day work = 1/10
2 days work = 1/30 + 1/10 = 2/15
14 days work = 7 × 2/15 = 14/15
15th day (A) = 1/30 → total = 29/30
Remaining = 1/30
16th day (B) → 1/10 per day
Time = 1/30 ÷ 1/10 = 1/3 day
= 15⅓ days