Answer:
6.96 hours.
Step-by-step explanation:
First, we need to find out the hour rate of bushels picked for each of them.
If Imani can pick 40 bushels in 15 hours, then he picks 40/15 = 8/3 bushes per hour.
If Bill can pick 40 bushels in 13 hours, then he picks 40/13 bushes per hour.
Working together, they pick: [tex]\frac{8}{3} +\frac{40}{13}[/tex] bushes per hour.
Let's simplify this expression:
[tex]\frac{8}{3} + \frac{40}{13} = \frac{104+120}{39} = \frac{224}{39}[/tex] = 5.74
Now we can use a rule of three
1 hour -------5.74
x hours ------40
Then,
x = 40 / 5.74 = 6.96
Therefore, it would take them 6.96 hours working together.
