Question

HELP HELLLLLPPPP


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.

Step-by-step 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,

$112\times x=120\times (x-1)\\\\112x=120x-120\\\\120=120x-112x\\\\120=8x\\\\x=\frac{120}{8}=15$

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

$15\times 112=1680\ acres$

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