Question

Kendall can wash 24 golf carts in a 4 hour shift. if benny helps him they can get the job done in 2 hours. how long will it take benny to do the job by himself?

a) 3 hours
b) 4 hours
c) 5 hours
d) 6 hours

Answer 1

To find out how long it will take Benny to do the job by himself, we can use the concept of rates. Kendall can wash 24 golf carts in 4 hours, so his rate would be 6 carts per hour. When Benny helps Kendall, their combined rate is 12 carts per hour. Therefore, it will take Benny 4 hours to wash 24 golf carts by himself.

Step-by-step explanation:

To find out how long it will take Benny to do the job by himself, we can use the concept of rates. Let's assume that Kendall's rate of washing golf carts is x carts per hour. This means that Kendall can wash 24 golf carts in 4 hours, so his rate would be 24/4 = 6 carts per hour.

When Benny helps Kendall, their combined rate is the sum of their individual rates. If it takes them 2 hours to complete the job together, their combined rate would be 24/2 = 12 carts per hour. Since Kendall's rate is 6 carts per hour, Benny's rate would be 12 - 6 = 6 carts per hour.

Now we can calculate how long it will take Benny to do the job by himself. Since Benny's rate is 6 carts per hour, it would take him 24/6 = 4 hours to wash 24 golf carts.