P and Q can complete a work in 40 days and 24 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 the correct answer:  A) 5 days  B) 10 days  C) 14 days  D) 22 days  E) 25 days
25 daysxplanation :   Work done by P in 1 day = 1/40   Work done by Q in 1 day = 1/24   Work done by P in 16 days = 16 Ã— (1/40) = 2/5   Remaining work = 1 â€“ 2/5 = 3/5   Work done by P and Q in 1 day = 1/40 + 1/24 = 1/15   Number of days P and Q take to complete the remaining work = (3/5) / (1/15)= 
<gadget id="calculator">(3/5) / (1/15)</gadget>
<output>9</output>
9   Total days= 16 + 9= 
<gadget id="calculator">16 + 9</gadget>
<output>25</output>
25   Answer : Option 25 days
<result>E</result>
P and Q can complete a work in 40 days and 24 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?