P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 135 days, in how many days can R alone complete the remaining work?  Choose the correct choice from the following answers:
A) 50 days  B) 92.4 days  C) 100 days  D) 150 days  E) 80 days
P works 25% more efficiently than Q: Something that takes Q 5 days, takes P 4 days   Q works 50% more efficiently than R: Something that takes R 7.5 days, takes Q 5 days   P alone takes 50 days less than Q: For every 4 days P works, Q has to work an extra day. Hence P alone can do it in 200 days and Q alone in 250 days and hence R alone in 385 days   P works for 60 days--&gt; 60/200 work done =&gt; 30%   Q works for 135 days--&gt; 135/250 work done =&gt; 54%   24% work left ... R alone will take 24% * 385 = 92.4 days   Answer is (92.4 days)
<result>B</result>
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 135 days, in how many days can R alone complete the remaining work?