Multiple choice

X can do a piece of work in 6 days while Y can do it in 8 days. If X, Y and Z work together, they complete the work in 3 days. How much will Z earn, if the total amount paid is Rs. 1920?

  1. Rs. 180

  2. Rs. 240

  3. Rs. 280

  4. Rs. 300
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

X's rate = 1/6, Y's rate = 1/8. (X+Y+Z)'s rate = 1/3. Z's rate = 1/3 - 1/6 - 1/8 = 8/24 - 4/24 - 3/24 = 1/24. Z does 1/8 of the total work (3 days out of 24). Earnings = 1/8 * 1920 = 240.

AI explanation

Using the formula for combined work rates, Z completes 1/3 - 1/6 - 1/8 = 1/24 of the work per day. Wages are distributed in proportion to the work done by each person, so Z's share of the total payment is (1/24) divided by (1/3), which equals 1/8. By multiplying this fraction by the total amount of Rs. 1920, Z earns Rs. 240.

Keep practicing — related questions