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 145 days, in how many days can R alone complete the remaining work?  Choose one.
A) 50 days
B) 110.6 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 395 days   P works for 60 days--&gt; 60/200 work done =&gt; 30%   Q works for 145 days--&gt; 145/250 work done =&gt; 58%   28% work left ... R alone will take 28% * 395 = 110.6 days   Answer is (110.6 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 145 days, in how many days can R alone complete the remaining work?