A farmer planned to plough a field by doing 120 hectares a day. After two days of work he increased his daily productivity by 25% and he finished the job two days ahead of schedule.
a) What is the area of the field?
b) In how many days did the farmer get the job done?
c) In how many days did the farmer plan to get the job done?
The only thing I am able to work out from here is $25\%$ of $120$ hectares a day, which is $30$, so on day 2 he works $150$ hectares a day and finishes the job two days earlier than planned, but I am not sure how to put this into algebra and work out area?