Question 529343: If 5 farmers can plow 5 fields in 5 hours how many fields can 10 farmers plow in 10 hours? Found 2 solutions by oberobic, Edwin McCravy:Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! If 5 farmers can plow 5 fields in 5 hours, then each of them plows 1 field per 5 hours or 1/5 of a field per hour.
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10 farmers * 1/5 field/hr * x hr = 10 fields
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2x = 10
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x = 5 hr
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To check with each farmer working for 5 hr at 1/5 field/hr, each farmer will plow 1 field.
You've got 10 farmers, so they will plow 10 fields in 5 hrs.
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Done.
The other tutor's solution is incorrect.
5 farmers can plow 5 fields in 5 hours
so twice as many farmers can plow twice as many fields in the same time, so
10 farmers can plow 10 fields in 5 hours
So in twice the time 10 farmers can plow twice as many fields, so
10 farmers can plow 20 fields in 10 hours
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Or you can use the "workers-times-jobs" formula:
=
where
W1 = number of workers in the first situation = 5
W2 = number of workers in the second situation = 10
T1 = number of time units in the first situation = 5
T2 = number of time units in the second situation = 10
J1 = number of jobs done in the first situation = 5
J2 = number of jobs done in the second situation = ?
=
Substituting:
= =
5 =
5J2 = 100
J2 =
J2 = 20
Edwin