Question

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A group of farmers had to plough 112 acres of land per day. Exceeding the schedule by 8 acres per day, the farmers finished plowing one day earlier than expected. How many acres of land did the farmers have to plough?

Answer 1

112+8 each day

112:8=14 so for each 14 days they had 8 acres extra until they finish early 1 day so they did not had to work the 15th day.

Since 15 days were scheduled with 112 each day they plough 112•15=1,680 acres

Answer 2

Answer: The farmers have to plough 1680 acres of land.

Explanation:

Let the expected time to complete the plowing be 'x'.

In x days, a group of farmers had to plough = 112 acres

According to question, on exceeding the schedule by 8 acres per day, the farmers finished plowing one day earlier than expected.

So, New time = x-1

Number of acres of land becomes

`112+8=120\ acres`

So, According to question, it becomes,

`112* x=120* (x-1)\\\\112x=120x-120\\\\120=120x-112x\\\\120=8x\\\\x=(120)/(8)=15`

So, Total acres of land the farmers have to plough is given by

`15* 112=1680\ acres`

Hence, the farmers have to plough 1680 acres of land.