Multiple choice

Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

  1. 18 days

  2. 48 days

  3. 27 days

  4. 36 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Prabodh does 1/2 in 30 days, so full job in 60 days. Sapan does 1/2 in 45 days, so full job in 90 days. Together rate = 1/60 + 1/90 = 3/180 + 2/180 = 5/180 = 1/36. Together they take 36 days.

AI explanation

Prabodh completes 1/2 of the job in 30 days, so using the unitary method his full time is 60 days. Sapan completes the remaining 1/2 of the job in 45 days, so his full time is 90 days. Their combined one day work is 1/60 plus 1/90, which equals 5/180 or 1/36. Working together they can do the job in 36 days.

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