SSC
Sample Paper
SSC CHSL (10+2) Sample Test Paper-18
question_answer
To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work. How much time shall B take to do it alone?
A)30 days
B)35 days
C)40 days
D)45 days
Correct Answer:
A
Solution :
Let A's working rate is 2U per day and B's working rate is 3U per day. \[[\because \,\,\,\,\,{{T}_{A}}:{{T}_{B}}=32]\] \[\therefore \] \[(A+B)'s\] working rate is 5U per day and work is completed in 18 days \[\therefore \] Total work \[=18\times 5=90\] Units and B's rate is 3U per day \[\therefore \] Time taken by B to complete \[=\frac{90U}{3U}\] = 30 days