Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
1/9
1/6
1/3
7/18
4/9
is there a shortcut to tackle this?
1/9
1/6
1/3
7/18
4/9
is there a shortcut to tackle this?
They still have 2/6th of the room to paint and their combined rate is 1 room per hour. So working together, they will finish that room in 20 minutes. Peter will contribute his usual rate (2/6th)
