Multiple choice

Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?

  1. 7 days

  2. 8 days

  3. 9 days

  4. 11 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Priyanka's work in 23 days = 23/40. Remaining work = 1 - 23/40 = 17/40. Bharat and Priyanka together do (1/45 + 1/40) = 17/360 per day. Days worked together = (17/40) / (17/360) = 9 days.

AI explanation

Assume the total work is the least common multiple of 45 and 40, which is 360 units, making the daily work of Bharat 8 units and the daily work of Priyanka 9 units. Priyanka works alone for 23 days to finish the remaining work, completing 207 units, which means 153 units were completed when they worked together. Since their combined daily work is 17 units, the number of days they worked together is 153 divided by 17, which equals 9 days.

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