Multiple choice

Vaibhav can do a piece of work in 60 days. He works for 15 days and then Sandeep alone finishes the remaining work in 30 days. In how many days will Vaibhav and Sandeep working together finish the work?

  1. 20 days

  2. 24 days

  3. 18 days

  4. 22 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Vaibhav's work in 15 days = 15/60 = 1/4. Remaining work = 3/4. Sandeep does 3/4 work in 30 days, so Sandeep's rate = (3/4)/30 = 1/40 per day. Combined rate = 1/60 + 1/40 = (2+3)/120 = 5/120 = 1/24. Together they finish in 24 days.

AI explanation

Vaibhav's 15 days of work equals 15 divided by 60, which is one-fourth of the job, leaving three-fourths for Sandeep to finish in 30 days. Using the unitary method, Sandeep's full time is 30 multiplied by 4 divided by 3, giving 40 days, so his 1-day work is 1/40. Adding this to Vaibhav's 1/60 gives a combined 5/120, or 1/24. Therefore, working together they finish the job in 24 days.

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