Maths · Functions

35 workers can build a house in 16 days. How many days will 28 workers working a

35 workers can build a house in 16 days. How many days will 28 workers working at the same rate take to build the same house?

  • A. 16 days
  • B. 28 days
  • C. 20 days
  • D. 10 days

Step-by-step solution

The total work is constant, given by 35 workers × 16 days = 560 worker-days. For 28 workers, the number of days required is 560 ÷ 28 = 20 days. This is an inverse proportion problem: as the number of workers decreases, the number of days increases proportionally.
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