Question

Working alone, kali can pick forty bushels of apples in 15 hours,l. One day her friend Natalie helped her and it only took 6 hours. How long would it take Natalie to do it alone.​

(please help I'm struggling)

Answer 1

The time it will take Natalie to pick the forty bushels alone is 10 hours

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.