SOLUTION: If 12 persons working 12 hours a day dig 12 meter of tunnel in 12 days. How many men are required to dig additional 4 meters of tunnel given that they work 4 hours a day for 4 day

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If 12 persons working 12 hours a day dig 12 meter of tunnel in 12 days. How many men are required to dig additional 4 meters of tunnel given that they work 4 hours a day for 4 day      Log On


   

Question 952735: If 12 persons working 12 hours a day dig 12 meter of tunnel in 12 days. How many men are required to dig additional 4 meters of tunnel given that they work 4 hours a day for 4 days.?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
12 hrs/day for 12 days is +12%2A12+=+144+ hrs
4 hrs/day for 4 days is +4%2A4+=+16+ hrs
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+12+%2B+4+=+16+ m of tunnel
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12 persons dig
12 m of tunnel in
144 hrs
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4 persons dig
4 m of tunnel in
144 hrs
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16 persons dig
16 m of tunnel in
144 hrs
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+9%2A16+=+144+ persons dig
16 m of tunnel in
16 hrs
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144 men are required
To explain:
+16+=+%281%2F9%29%2A144+, so to dig
the same number of tunnels in
1/9 the time, it will take
9 times as many men
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