SAT Math

Category - Algebra and Functions

Six workers can finish a job in 15 days. After three days, two more workers join. How many days do they need to finish the same job if they all work at the same rate?
  1. 8
  2. 9
  3. 10
  4. 11
  5. 12
Explanation
Answer: B - The workers need nine days to finish a job. After three, days two workers came, and the number of workers becomes (6 + 2). If the number of workers stayed the same (6), they will finish a job in (15 − 3) days. The numbers of workers and days vary inversely.

6:(6 + 2) = x:(15 − 3)
6:8 = x:12
8x = 6 × 12
x = (6 × 12)/8 = 9
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