the do nothing duo wants to see how many grains will fit into a thimble. If do nothing #1 is putting grains inside of the thimble at a rate of 10 per minute and do nothing #2 is putting grains inside of the thimble at a rate of 12 per minute, how many minutes will it take them together to put 11,440 grains inside of the thimble

1 answer

To find out how many minutes it will take them together, we need to determine their combined rate.

The combined rate is the sum of their individual rates: 10 grains per minute for do nothing #1 and 12 grains per minute for do nothing #2.

So, their combined rate is 10 + 12 = 22 grains per minute.

To calculate the time it will take for them to put 11,440 grains into the thimble, we divide the total number of grains by the combined rate:

Time = Total grains / Combined rate
Time = 11,440 / 22

Using long division:
22 | 11,440
- 10,968
-------
472
- 440
-------
32

So, the time it will take them together to put 11,440 grains inside the thimble is 520 minutes.