Multiple choice

A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be C's share of the earnings?

  1. $1100
  2. $520
  3. $1080
  4. $1170
  5. $630
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work rates are 1/6, 1/8, 1/12. Ratio of work done is 4:3:2. Total parts = 9. C's share = (2/9) * 2340 = 520.

AI explanation

The earnings will be distributed in the ratio of their efficiencies, which is the inverse of their time taken. The ratio of their one day's work is 1/6 : 1/8 : 1/12. Converting to a common denominator gives 4/24 : 3/24 : 2/24, which simplifies to a ratio of 4 : 3 : 2. The total earnings of \$2340 is divided into 9 parts (4 + 3 + 2), making each part worth \$260. The share of C is 2 parts, calculated as 2 multiplied by \$260, which equals \$520.

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