P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 8 days till the completion of the work. How long did the work last?
Choose the correct choice from the following answers:
A) 35 days  B) 10 days  C) 14 days  D) 22 days  E) 26 days
Explanation :   Work done by P in 1 day = 1/80   Work done by Q in 1 day = 1/48   Work done by P in 8 days =8 Ã— (1/80) = 1/10   Remaining work = 1 â€“ 1/10 = 9/10   Work done by P and Q in 1 day = 1/80 + 1/48 = 1/30   Number of days P and Q take to complete the remaining work = (9/10) / (1/30)= 
<gadget id="calculator">(9/10) / (1/30)</gadget>
<output>27</output>
27   Total days= 8 + 27= 
<gadget id="calculator">8 + 27</gadget>
<output>35</output>
35   35 daysnswer : Option 35 days
<result>A</result>
P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 8 days till the completion of the work. How long did the work last?