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Four men working together can dig a ditch in 42 days. They begin, but one man works only half-days. How long will it take to complete the job:

A) 46 days
B) 48 days
C) 50 days
D) 52 days

Correct Answer: B) 48 days

1. **Total Work (Man-Days):** $$4 ext{ men} imes 42 ext{ days} = 168 ext{ Man-Days}$$ 2. **New Daily Efficiency:** $$3 ext{ full-time} + 1 ext{ half-time} = 3 + 0.5 = 3.5 ext{ Man-Days/day}$$ 3. **Days to Complete:** $$ ext{Days} = rac{168}{3.5} = 48 ext{ days}$$

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