Question

Ken can collect a bucket of blueberries in 15 hours. With his friend Louis

they collected a bucket in 8 hours. How long would it take Louis to collect a
bucket alone? (Round to the nearest hundredth)

Answer 1

To find out how long it would take Louis to collect a bucket of blueberries alone, you need to use the formula 1/T = 1/Ken's time + 1/Louis' time. By substituting the known values into the equation and solving, we find that it would take Louis approximately 5.22 hours (rounded to the nearest hundredth) to collect a bucket alone.

Step-by-step explanation:

To find out how long it would take Louis to collect a bucket of blueberries alone, we can use the formula:

1/T = 1/Ken's time + 1/Louis' time

Let's substitute the known values into the equation:

1/T = 1/15 + 1/8

Now, let's solve the equation:

1. Multiply the equation by 120 (the least common multiple of 15 and 8) to eliminate the denominators: 120/T = 8 + 15
2. Simplify: 120/T = 23
3. Divide both sides by 23: T = 120/23

So, it would take Louis approximately 5.22 hours (rounded to the nearest hundredth) to collect a bucket of blueberries alone.