Answer to Question #260315 in Algebra for Anasidd

Question

Six utility men can clean the entire three star hotel for 10 hours, If the hotel needs to be clean for 6 hours, how many utility men are needed to finish the work

Answer 1

The speed of 1 worker is

$$\dfrac{1}{6(10)} hotel/hour$$

The number of workers is

$$n=\dfrac{1\ hotel}{6\ hour(\dfrac{1}{6(10)} hotel/hour)}=10$$

10 men are needed  to finish the work.