Multiple choice

Vishal and Shashank can do a job in 8 days. Shashank and Vikas can do same job in 12 days. Vishal, Shashank and Vikas together can do the same job in 6 days. In how many days Vishal and Vikas together can complete the job ?

  1. 6

  2. 10

  3. 8

  4. 15

  5. None of these

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

Let V, S, Vk be work rates of Vishal, Shashank, Vikas per day. V+S = 1/8, S+Vk = 1/12, V+S+Vk = 1/6. From equation 1 and 3: Vk = 1/6 - 1/8 = 1/24. From equation 2 and 3: V = 1/6 - 1/12 = 1/12. So V + Vk = 1/12 + 1/24 = 3/24 = 1/8. Together they complete the job in 8 days. Option C is correct.