math

posted by .

Jan and pete are home decorators. Jan can paint 3 rooms in 2 hours. Pete can paint 2 rooms in 3 hours. If they work together, about how many hours will it take jan and pete to apint 6 rooms.

  • math -

    Jan's rate = 1 room/ 2/3 hours
    Pete's rate = 1 room/ 3/2 hours

    combined rate = 1/(2/3) + 1/(3/2)
    = 3/2 + 2/3
    = 13/6 room/hr

    time for 6 rooms = 6 รท 13/6
    = 6(6/13)
    = 36/13 hours or appr 2 hours 46 minutes

    btw, painting rooms does not work like that.

  • math -

    how he got 13/6 room /hr
    please explain

  • math -

    3/2 + 2/3 = 9/6 + 4/6 = 13/6

  • math -

    Thank you

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Economics

    Assume that it takes four hours of labor time to paint a room and three hours to sand a floor.If all 24 hours were spent painting, how many rooms could be painted by one worker?
  2. Math

    Pete and jan compete as a team in a biathlon. Pete runs at a speed of 9 km/ h for x hours. Jan cycles at twice Pete's running speed for 1 hour and 30 minutes. The total distance of the biathlon is 42 km. Find, in hour and minutes, …
  3. Intermediate Algebra

    Joe can paint a room in 6 hours while Sue can paint the same room in 5 hours. Working together, how long would it take them to paint the room?
  4. math

    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
  5. economics

    Assume that it takes four hours of labor time to paint a room and three hours to sand a floor. If all 24 hours were spent painting, how many rooms could be painted by one person?
  6. algebra 1

    suppose xitlali can paint 6 rooms in 12 hours and alicia takes eight hours. how long would it take the two painters together to paint the 6 rooms?
  7. math

    Paul takes longer to paint the door than pete does.When they work together it takes them 2 hours.How long would each take to do the job alone?
  8. Math

    Melanie can paint a 100 square foot wall in 4 hours. James can paint the same area in 3 hours. If they both paint nonstop for 6 hours, about how many square feet can Melanie and James paint together?
  9. Math

    Here is the instruction: Use the data from the table to calculate the number of hours of daylight for one day per week throughout the year (52 data points). Be sure to use the same day of the week so that your data points are evenly …
  10. Mathematics

    If 4 painters can paint 3 rooms in 12 hours, how long will it take for: a) 1 painter to paint 3 rooms?

More Similar Questions