Assume that all chickens have 3290 feathers. If it takes you 2.6 seconds to pluck 83.6 feathers, how many hours would it take you to defeather 7256 chickens?

Answer in units of hours.

I got 198.3 but it tells me I'm wrong

7256chickens * 3290feathers/chicken = 23,872,240 Feathers to be plucked.

23,872,240fe * 2.6s/83.6fe * 1h/3600s =
206.2 h.

To find how many hours it would take to defeather 7256 chickens, we need to consider the number of feathers and the time it takes to pluck them.

First, let's find out how many feathers are on all the chickens. Since each chicken has 3290 feathers, we can multiply this number by the total number of chickens: 3290 feathers/chicken * 7256 chickens = 23,903,440 feathers.

Now let's determine how many feathers can be plucked in one second. We know that it takes 2.6 seconds to pluck 83.6 feathers, so we can divide the total number of feathers plucked (83.6) by the time it takes (2.6 seconds): 83.6 feathers / 2.6 seconds = 32 feathers/second.

Next, let's determine how many seconds it would take to pluck all the feathers. We can divide the total number of feathers (23,903,440) by the number of feathers plucked per second (32 feathers/second): 23,903,440 feathers / 32 feathers/second = 747,608.75 seconds.

Finally, let's convert the time in seconds to hours. Since there are 60 seconds in a minute and 60 minutes in an hour, we can divide the number of seconds by 3600 (60 seconds * 60 minutes): 747,608.75 seconds / 3600 seconds/hour = 207.67 hours.

Therefore, it would take approximately 207.67 hours to defeather 7256 chickens.