Answer:
The time it will take Natalie to pick the forty bushels alone is 10 hours
Step-by-step explanation:
The time it takes Kali to pick forty bushels of apples alone = 15 hours
The time it takes Kali and Natalie to pick forty bushels = 6 hours
The rate at which Kali picks bushels = 40/15 bushels per hour = 8/3 bushels per hour
Let x represents the rate at which Natalie picks bushels, we have;
8/3 × 6 + x × 6 = 40
x × 6 = 40 - 8/3 × 6 = 24
x = 24/6 = 4
Therefore;
The rate at which Natalie picks the bushels of apples = 4 bushels/hour
The time it will take Natalie to pick the forty bushels alone = (40 bushels)/(4 bushels/hour) = 10 hours.
