Question

Rashmi can do a piece of work in 16 days. Ravina can do the same work in 12 days while Gitika can do it in 32 days. All of them started to work together but Rashmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. How long the work last?; Rashmi can do a piece of work in 16 days. Ravina can do the same work in 12 days while Gitika can do it in 32 days. All of them started to work together but Rashmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. How long the work last?

Answer 1

4 days all three of them work together, and last three days gitika works alone, so 7 days are for sure, we need to mainly find hoe many days in middle ravina and gitika work, answer is 8.72 days approximately

Answer 2

Answer:

8+8/11

Step-by-step explanation:

Let the work lasted for x days.

Therefore,

Rashmi's 4 day's work + Ravina's (x - 3) day's + Gitika's day's work = 1

According to the question,

(1/16 × 4) + [(x - 3)/12] + (x × 1)/32 = 1

(4/16) + (x - 3)/1 ÷ 12 + x/32 = 1

1/4 + (x - 3)/1 ÷ 12 + x/32 = 1

1/4 + (x - 3)/1 × 1/12 + x/32 = 1

1/4 + 1(x - 3)/12 + x/32 = 1

1/4 + (x - 1 × 3)/12 + x/32 = 1

1/4 + (x - 3)/12 + x/32 = 1

24/96 + 8x - 24/96 + 3x/96 = 1

(24 + 8x - 24 + 3x)/96 = 1

11x/96 = 1

11x = 1 × 96

11x = 96

x = 8+8/11

= 8+8/11 days