A farmer is ploughing his field.

His plough is 10 metres wide and he is travelling at 5 miles per hour.

How many acres can he plough in an hour?


Could someone help me on this please.

 

How many metres squared is an acre? Is this Friday night posting material really???

 

Ok 5mph = 2.2352 metres/second

Plough is 10m wide therefore he can plough 22.352 metres squared/s

That means he can plough 80467.2 metres squared/hour

1 Acre = 4 046.85642 metres squared

Therefore he can plough 80467.2/4046.85642 acres/hour = 19.88 acres/hour

 

Ok 5mph = 2.2352 metres/second

Plough is 10m wide therefore he can plough 22.352 metres squared/s

That means he can plough 80467.2 metres squared/hour

1 Acre = 4 046.85642 metres squared

Therefore he can plough 80467.2/4046.85642 acres/hour = 19.88 acres/hour

This is assuming no time for turning around etc and that he drives in a straight line etc.

 

i worked it out the other round

an acre is roughly 64mtrs x 64mtrs. so 6 and a half passes or 6.5 x 64 = 614 linear metres at 10 metres wide

there's about 1610metres in one mile.

5mph = 5x1610mtr = 8050 meters per hour

divide 8050 by 614 = 1/13th of an hour (lets call it 1/12th to simplify)

how many 12ths in an hour = 60mins divided by 12 = 5 minutes.

so it will take 5minutes-ish.

 

Same conclusion, roughly 20 acres an hour

 

per acre..........doh! i never read the question properly sir.

 

Farmers don't know what metres are........

dl

 

Tiz yards i tell e!

 

13 is not equal to 20

Ahem, 6.5 x 64 = 416 linear metres at 10 metres wide

divide 8050 by 416 = 1/20th of an hour = 3 minutes.

 

There is a difference between square metres and metres squared.

 

Sorry yes, its a Friday night lol

 

Technically yes a square metre is 1mx1m square.

1 metre squared is an area that can be made up in a number of ways such as 1mx1m, 2mx0.5m, 3mx0.333m etc etc.

However they are the same area and therefore for this calculation the difference is irrelevant as an acre is also a unit of area. My calculation is correct and anwsers your question.

 

well done, that was a test.