A) \[41\frac{2}{7}\]days
B) \[37\frac{1}{7}\]days
C) \[40\frac{4}{7}\]days
D) \[42\frac{5}{7}\]days
E) None of these
Correct Answer: D
Solution :
Work efficiency of P to Q = 160 : 100=8 : 5 When they work together they finish the work in \[16\frac{3}{7}\] days =\[\frac{115}{7}\]days Now, Q alone can finish the work in \[\frac{115}{7}\times \frac{13}{5}=\frac{299}{7}=42\frac{5}{7}\]days Quicker Method: With(100 + 160 =) 260 efficiency they take\[\frac{115}{7}\] days \[\therefore \] With 100 efficiency Q takes\[\frac{115}{7}\times \frac{260}{100}\] \[=\frac{299}{7}=42\frac{5}{7}days\]
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