raghu, 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? Pick one:
A) 4/9	B) 1/6	C) 1/3	D) 7/18	E) 1/9
Let's use smart numbers here --&gt;Work=18   Rate * Time = Work   Tom: 3 x 6 = 18   Peter: 6 x 3 = 18   John: 9 x 2 = 18   Before John joined Tom and Peter: Tom worked 2 Hours -&gt; 2*3=6 and Peter   1*6= 
<gadget id="calculator">  1*6</gadget>
<output>6</output>
6 gives us 12. So we are left with 18-12= 
<gadget id="calculator">18-12</gadget>
<output>6</output>
6 for all three of them --&gt; (3+6+9)*t=6, thus t=1/3 this means that Peter worked 2+1/3 Hours = 6+2= 
<gadget id="calculator">6+2</gadget>
<output>8</output>
8 --&gt; 8/18=4/9   At least this approach helps me... Don't like dealind with fractions when you're tired.   4/9nswer:a
<result>A</result>
raghu, 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?