Huck can paint the fence in 4 hours. if tom helps, together they will finish in 1.5 hours. How long would it take Tom to paint the fence alone.

Answer 1

Huck can paint the fence in 4 hours. if tom helps, together they will finish in 1.5 hours. How long would it take Tom to paint the fence alone.

Huck + Tom =

1 fence 1 fence 1 fence

———— + ———— = ————

4hr x hr 1.5 hr

1/4 + 1/x = 1/(3/2)

1/x = 2/3 -1/4

1/x = 8/12 - 3/12

1/x = 5/12

x = 12/5

It takes Tom 2.4 hours or 2 hours and 24 minutes to paint the fence alone.