Multiple choice

U and V can complete a job in 24 days working together. U alone can complete it in 32 days. Both of them together worked for 8 days and then U left. The number of days V would take to complete the remaining job is

  1. 16

  2. 32

  3. 64

  4. 128

  5. 256
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

U's rate is 1/32. Together rate is 1/24. V's rate = 1/24 - 1/32 = 1/96. In 8 days, they finish 8/24 = 1/3 of the job. Remaining job is 2/3. V takes (2/3) / (1/96) = 64 days.

AI explanation

Using the efficiency method, let the total work be the least common multiple of 24 and 32, which is 96 units. The combined efficiency of U and V is 96/24 = 4 units per day, and the efficiency of U is 96/32 = 3 units per day, making V's efficiency 1 unit per day. Working together for 8 days, they complete 8 * 4 = 32 units, leaving 96 - 32 = 64 units of work. V requires 64 / 1 = 64 days to complete the remaining work.

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