Question

Sam can clean the pool in 5 hours; his coworker Glenn can clean the same pool in 7 hours. One day Sam

Answer 1

Answer:

23/12 hours or 1.9167 hours

Step-by-step explanation:

We are told that Sam can clean the pool in 5 hours. This implies 1:5

Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7

Since it's the same pool, let's generate a workrate formula.

Thus;

(1/5)x + (1/7)x = 1

Where x is the amount of time used by both of them to clean 1 pool

Simplifying it, we multiply each term by 35 to get;

7x + 5x = 35

12x = 35

x = 35/12

We are now told that One day Sam

started to clean the pool by himself and worked for an hour.

Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours

Thus, time they both used to finish cleaning the pool is 23/12 hours