Multiple choice

A, B and c can do a piece of work in 12 days, 15 days and 10 days respectively. In what time will they all together finish it?

  1. $6$ days 
  2. $4$ days 
  3. $8$ days 
  4. $2$ days 
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work rates are 1/12, 1/15, and 1/10. Combined rate is (5+4+6)/60 = 15/60 = 1/4. Time taken = 4 days.

AI explanation

Taking the LCM of 12, 15, and 10 as the total work gives 60 units, meaning A does 5 units per day, B does 4 units per day, and C does 6 units per day. Working together, their combined speed is 5 plus 4 plus 6, equaling 15 units per day. The total time required to finish the 60 units of work is 60 divided by 15 days, which equals 4 days.

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