P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 16 days till the completion of the work. How long did the work last? Choose one
A) 5 days
B) 10 days
C) 14 days
D) 22 days
E) 40 days
40 daysxplanation :   Work done by P in 1 day = 1/80   Work done by Q in 1 day = 1/48   Work done by P in 16 days = 16 Ã— (1/80) = 1/5   Remaining work = 1 â€“ 1/5 = 4/5   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 = (4/5) / (1/30)= 
<gadget id="calculator">(4/5) / (1/30)</gadget>
<output>24</output>
24   Total days= 16 + 24= 
<gadget id="calculator">16 + 24</gadget>
<output>40</output>
40   Answer : Option 40 days
<result>E</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 16 days till the completion of the work. How long did the work last?