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?

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asked by frank
  1. work=rate*time

    worktotal=sallyrate*time + johnrate*time

    time= worktotal/(sallyrate +johnrate)

    = 1house/(house/4 + house/6)
    = 24/24 * 1/(1/4 + 1/6)
    = 24 * 1/(6 + 4)= 24/10 hrs

    check my thinking.

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