Multiple choice

Asha and Bhuvan can do a piece of work in 6 days and 9 days, respectively. They work on alternate days, starting with Asha on the first day. In how many days will the work be completed?

  1. 6 days

  2. 7 days

  3. 9 days

  4. 8 days

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Asha completes 1/6 of work per day, Bhuvan completes 1/9 per day. They work alternately starting with Asha. Day 1-6 (3 cycles): Asha does 3/6=1/2, Bhuvan does 3/9=1/3. Total after 6 days = 1/2+1/3=5/6. Remaining work = 1/6. Day 7 (Asha's turn): She needs 1 day for her 1/6 portion, but only 1/6 remains. So she completes it in 1/6 ÷ (1/6) = 1 day. Total = 7 days. Option B is correct. Option A(6 days) is too early, C(9 days) and D(8 days) are too late.