color(red)("You have defined the work rate but not stated the number of rooms"You have defined the work rate but not stated the number of rooms
color(red)("to be painted. I will work this out for 1 room and you will have to"to be painted. I will work this out for 1 room and you will have to
color(red)("proportion this up (or down) for however many rooms are needed.")proportion this up (or down) for however many rooms are needed.
For 1 room only:
Jake ->1xxt " room hours"→1×t room hours
Lional-> 1xx(t-2)" room hours"→1×(t−2) room hours
Wayne->1xx(3(t-2))/2" room hours "larr" 2 rooms in "3(t-2)→1×3(t−2)2 room hours ← 2 rooms in 3(t−2)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Determine the time for 1 room if they all work together")Determine the time for 1 room if they all work together
t+(t-2)+(3(t-2))/2=1t+(t−2)+3(t−2)2=1
t+t+3/2t-2-6/2=1t+t+32t−2−62=1
7/2t=1+2+372t=1+2+3
t=(2xx6)/7 " hours"t=2×67 hours
t=12/7" hours"larr" For 1 room"t=127 hours← For 1 room
