Question 424584
nigel can paint a room in 8 hours,
 while phil can paint the same room in 6 hours how long would it take them to
 paint 4 rooms of that same size?
:
Let t = time when both work together, to paint 4 rooms
Let the painting of one room = 1
:
{{{t/8}}} + {{{t/6}}} = 4(1)
multiply by 24
24*{{{t/8}}} + 24*{{{t/6}}} = 24(4)
Cancel the denominators, results:
3t + 4t = 96
7t = 96
t = {{{96/7}}}
t = 13.7 hrs working together they can paint 4 rooms
:
:
Check solution
{{{13.7/8}}} + {{{13.7/6}}} = 
1.7125 + 2.833 ~ 4.0