Violet takes 4 hours to clean a room. Hailey takes 6 hours to clean the same room. How many hours and minutes will it take to clean the room if they work together?

Question

Remember hours and minutes

Answer 1

If they work together let's see how much of the room they can clean in one minute.

In 4 hours (240 minutes) Violet cleans 100% of the room. 100% can also be expressed as 240/240 or 1.

In 1 minute violet will clean 1/240 of the room.

In 6 hours (360 minutes) Hailey cleans 100% of the room or 360/360 or 1.

In 1 minute Hailey will clean 1/360 of the room.

If they are working together, they can clean 1/240 + 1/360 of the room in one minute. 1/240+1/360 =1/144

If they clean 1/144 of the room in one minute, simply multiply by 144 to obtain 144/144 or 1 (which means they cleaned the entire room or 100% of it).

Now we convert 144 minutes to hours and minutes. Divide 144 by 60 (60 minutes in an hour). This gives you 2 hours and the remainder 24 are the minutes.

In conclusion, they will take 2 hours and 24 minutes to clean the room.