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 150 days , in how many days can r alone complete the remaining work ?
"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 400 days p works for 60 days - - > 60 / 200 work done = > 30 % q works for 150 days - - > 150 / 250 work done = > 60 % 30 % work left . . . r alone will take 30 % * 400 = 120 days answer is ( c )"
subtract(multiply(const_4, 50), multiply(divide(150, const_100), 60))