CSAT: Work Rate Problem Quiz

Question

Praveen can complete a work in 20 days. Varun can complete the same work in 30 days. They work together for 6 days, after which Praveen leaves. In how many more days will Varun finish the remaining work?

Accepted Answer

Praveen can complete the work in 20 days, so he does 1/20 of the work per day. Varun can complete the work in 30 days, so he does 1/30 of the work per day. When they work together, their combined work per day is: 1/20 + 1/30 The LCM of 20 and 30 is 60. Converting: 1/20 = 3/60 1/30 = 2/60 So together they complete 5/60 = 1/12 of the work per day. They work together for 6 days, so the work completed is: 6 × 1/12 = 1/2 This means half of the work is completed, and half of the work remains. After that, Praveen leaves and Varun works alone. Varun’s one-day work is 1/30. Time taken by Varun to complete the remaining 1/2 work: (1/2) ÷ (1/30) = 15 days Answer: 15 days (Option D)

Answer

10 days

Answer

12 days

Answer

14 days

Answer

15 days

Options

Explanation

Explanation

Step 1: Daily work rates

Step 2: Combined work per day

Step 3: Work done in 6 days

Step 4: Remaining work

Step 5: Time taken by Varun alone

✅ Answer

Question

Options

Explanation

Explanation

Step 1: Daily work rates

Step 2: Combined work per day

Step 3: Work done in 6 days

Step 4: Remaining work

Step 5: Time taken by Varun alone

✅ Answer