Multiple choice

Ekta can do 6 times the actual work in 36 days while Feena can do 1/4th of the original work in 3 days. In how many days will both working together complete the 3 times original work?

  1. 6

  2. 12

  3. 10

  4. 15

  5. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ekta: 6 units in 36 days = 1 unit in 6 days. Feena: 1/4 unit in 3 days = 1 unit in 12 days. Combined rate = 1/6 + 1/12 = 3/12 = 1/4. To complete 3 units, time = 3 / (1/4) = 12 days.

AI explanation

Ekta completes the whole work in 36 days, giving a work rate of 1/36 per day. Feena completes the entire work in 12 days (3 multiplied by 4), so her daily work rate is 1/12. Their combined daily rate is 1/36 + 1/12 = 4/36 = 1/9. To finish three times the original work, they require 3 divided by (1/9) days. The total time is 12 days.

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