CSAT: Work Completion Problem Quiz

Question

Babu can complete a work in 12 days, Praveen can complete it in 16 days, and Dhanush Kodi can complete it in 24 days. If Babu works for 4 days, Praveen works for 6 days, and Dhanush Kodi works for 8 days, how much work (in fraction of the total) will be completed?

Accepted Answer

Babu works 4 days: 4 × 1 / 12 = 4 / 12 = 1 / 3 4×1/12=4/12=1/3 of the work Praveen works 6 days: 6 × 1 / 16 = 6 / 16 = 3 / 8 6×1/16=6/16=3/8 of the work Dhanush Kodi works 8 days: 8 × 1 / 24 = 8 / 24 = 1 / 3 8×1/24=8/24=1/3 of the work Adding these together: 1 3 + 3 8 + 1 3 3 1 ​ + 8 3 ​ + 3 1 ​ The LCM of 3, 8, 3 is 24: 1 3 = 8 / 24 , 3 8 = 9 / 24 , 1 3 = 8 / 24 3 1 ​ =8/24, 8 3 ​ =9/24, 3 1 ​ =8/24 Total work = 8 / 24 + 9 / 24 + 8 / 24 = 25 / 24 Total work=8/24+9/24+8/24=25/24 Since 25/24 is more than 1, the full work is completed. Answer: 1 (Option A)

Answer

1

Answer

7/8

Answer

3/4

Answer

13/16

Options

Explanation

Step 1: Work done by each per day

Step 2: Work done individually in their working days

Step 3: Total work completed

✅ Answer

Question