P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 8 days. How many days more will P take to finish the work?	Choose the correct choice from the following options
A) 10	B) 15	C) 18	D) 20	E) 24
Let work done by P in 1 day = p,   Work done by Q in 1 day = q,   Work done by R in 1 day = r   p + q = 1/30   q + r = 1/24   r + p = 1/20   Adding all the above, 2p + 2q + 2r = 1/30 + 1/24+ 1/20 = 15/120 = 1/8   =&gt; p + q + r = 1/16   =&gt; Work done by P,Q and R in 1 day = 1/16   Work done by P, Q and R in 8 days = 8 × (1/16) =8/16 = 1/2   Remaining work = 1 = 1/2= 1/2   Work done by P in 1 day = Work done by P,Q and R in 1 day - Work done by Q and R in 1 day   = 1/16 – 1/24 = 1/48   Number of days P needs to work to complete the remaining work = (1/2) / (1/48)= 
<gadget id="calculator">(1/2) / (1/48)</gadget>
<output>24</output>
24   Option 24
<result>E</result>
P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 8 days. How many days more will P take to finish the work?