Quantitative Aptitude :: Time and Work Problems And Answers

73. A does 4/5th of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A. 23 days B. 37 days
C. 37 ½ days D. 40 days
Answer & Explanation

Answer: Option C

Explanation:
A can finish the whole work in 20 × 5/4 days = 25 days 
A and B together finish the whole work in 5 × 3 days = 15 days 
Therefore, B can finish the whole work in  25 B/ 25 + B = 15 
      25 B = 15 ( 25 + B)= 375 + 15B 
10B = 375 and B = 375/10 = 37 ½ days.


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