Sally can paint a room in
4 hours while it takes Steve
7 hours to paint the same room. How long would it take them to paint the room if they worked together?
It would take them 3 hours to paint the room if they worked together.
To find out how long it would take Sally and Steve to paint the room together, we can use the concept of work rate. The work rate is the amount of work done per unit of time. If we assume that the amount of work to paint the room is 1 (since it's one room), Sally's work rate is 1 room per 4 hours, and Steve's work rate is 1 room per 7 hours.
To calculate their combined work rate, we add their individual work rates:
Sally's work rate + Steve's work rate = 1/4 + 1/7 = 7/28 + 4/28 = 11/28.
This means that together, Sally and Steve can paint 11/28 of the room per hour.
Now, to find out how long it would take them to complete the entire room, we can invert their combined work rate:
1 / (11/28) = 28/11.
Therefore, it would take Sally and Steve approximately 2.54 hours (or 2 hours and 32 minutes) to paint the room together.
To find out how long it would take Sally and Steve to paint the room together, we can calculate their combined work rate.
Sally can paint the room in 4 hours, so her work rate is 1/4 of the room per hour (1 room / 4 hours = 1/4 room/hour).
Steve can paint the room in 7 hours, so his work rate is 1/7 of the room per hour (1 room / 7 hours = 1/7 room/hour).
To find the combined work rate, we simply add their individual work rates together:
1/4 room/hour + 1/7 room/hour = 7/28 + 4/28 = 11/28 room/hour.
Now, to determine how long it would take them to paint the room together, we can use the formula:
Time = 1 / Combined Work Rate.
Time = 1 / (11/28) = 28/11 hours.
Therefore, it would take them approximately 2.55 hours (28/11 hours) to paint the room together.