Multiple choice

Kyle, Megan and Chloe can complete a project in 5, 10 and 15 days, respectively. They started together to do the work. After 2 days, Kyle and Megan left. How many more days are needed by Chloe to complete the project?

  1. 8 days

  2. 6 days

  3. 5 days

  4. 4 days

  5. 4.5 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: Kyle 1/5, Megan 1/10, Chloe 1/15. Together: 6/30 + 3/30 + 2/30 = 11/30 per day. In 2 days, they do 22/30. Remaining work is 8/30. Chloe takes (8/30) / (1/15) = 4 days.

AI explanation

Kyle, Megan, and Chloe have one day work capacities of 1/5, 1/10, and 1/15 respectively. Their combined one day work is 1/5 + 1/10 + 1/15 = 11/30. Working together for 2 days, they complete 22/30 of the project, leaving 8/30 of the project unfinished. Since Chloe's daily work capacity is 1/15, the additional days she needs are (8/30) divided by (1/15). The result is 4 days.

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