Question

with two reapers operating, a field can be harvested in 1 h. If only the newer feaper is used, the crop can be harvested in 1,1 h. How long would it take to harvest the field using only the older reaper?

Answer 1

Using the concept of work rates, we can find that it would take approximately 1 hour to harvest the field using only the older reaper.

Step-by-step explanation:

To find out how long it would take to harvest the field using only the older reaper, we can use the concept of work rates. Let's assume that the field is a unit of work. If two reapers can harvest the field in 1 hour, it means they can collectively complete 1 unit of work in 1 hour. So their combined work rate is 1 unit of work per hour.

Now, if only the newer reaper is used, it takes 1.1 hours to harvest the field. This means that the newer reaper has a work rate of approximately 0.909 units of work per hour (1 unit of work divided by 1.1 hours).

To find how long it would take to harvest the field using only the older reaper, we can set up a proportion:

Work rate of older reaper / Work rate of newer reaper = Time taken by newer reaper / Time taken by older reaper

Let's represent the time taken by the older reaper as 't'. So the proportion becomes:

t / 0.909 = 1.1 / 1

Solving for 't', we get:

t = 0.909 * 1.1 / 1

t ≈ 1 hour

Therefore, it would take approximately 1 hour to harvest the field using only the older reaper.