Multiple choice

Peeyush has done 1/3rd of a job in 30 days, Sanjiv completes the rest of the job in 60 days. In how many days can they together do the job?

  1. 15 days

  2. 45 days

  3. 30 days

  4. 10 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Peeyush does 1/3 of the job in 30 days, so he does the whole job in 90 days. Sanjiv does the remaining 2/3 of the job in 60 days, so he does the whole job in 90 days. Together, their rate is 1/90 + 1/90 = 2/90 = 1/45, meaning they take 45 days.

AI explanation

Using the unitary method, Peeyush completes 1/3 of the job in 30 days, meaning his rate is 1 divided by (3 times 30), or 1/90 of the job per day. Sanjiv completes the remaining 2/3 of the job in 60 days, making his rate 2/3 divided by 60, which equals 1/90 of the job per day. Their combined daily work rate is 1/90 plus 1/90, totaling 2/90 or 1/45. Therefore, working together, they will complete the entire job in 45 days.

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