P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?
Choose the correct choice from the following answers:
A) 4
B) 5
C) 6
D) 7
E) 8
Explanation :   Let P takes x days to complete the work   Then Q takes x/2 days and R takes x/3 days to finish the work   Amount of work P does in 1 day = 1/x   Amount of work Q does in 1 day = 2/x   Amount of work R does in 1 day = 3/x   Amount of work P,Q and R do in 1 day = 1/x + 2/x + 3/x = 1/x (1 + 2 + 3) = 6/x   6/x = 2   =&gt; x = 12   =&gt; Q takes 12/2= 
<gadget id="calculator">12/2</gadget>
<output>6</output>
6 days to complete the work   Answer : Option 6
<result>C</result>
P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?