Working together, Tiffany and Rumita can polish the gym floor in six hours.

Question

Working together, Tiffany and Rumita can polish the gym floor in six hours.Working alone,Tiffany can complete the job in eight hours. How long would it take Rumita to polish the floor on her own?

Answer 1

If Tiffany cleans in 8 hours, then she cleans 1/8 per hour.

Tiffany and Rumita clean in 6 hours, so their total rate is 1/6 per hour.

Then, Rumita's rate is 1/6 - 1/8 = 1/24

Thus, it takes Rumita 24 hours to clean the floor.

Answer 2

6/8+6/x = 1

 

6/x = 1/4

 

x/6 = 4

 

x = 24