If 15 workers can build a 1500 m long road in 25 days, working 8 hours a day, how many days will 16 workers take to build a 2400 m long road, working 6 hours a day?
50 days
Use the work formula: (M₁ × D₁ × H₁)/W₁ = (M₂ × D₂ × H₂)/W₂
(15 × 25 × 8)/1500 = (16 × D × 6)/2400
3000/1500 = 96D/2400
2 = 96D/2400
D = 4800/96
= 50 days
Check: 16 × 50 × 6 = 4800 worker-hours for 2400 m gives 2 worker-hours per metre, same as 3000 for 1500 m.
Hence, 50 days.
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