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Aptitude · Q143

Time And Work

Competitive Exams · Aptitude · question 143

Q143

Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together. What time would they take to do the work together ?

A.
4 hours
B.
5 hours
C.
6 hours
Answer
D.
7 hours

Answer: Option C

Solution

Answer: Option C
Solution:
Let A and B together take x hours to complete the work.
Then, A alone takes (x + 8) hours
And
B alone takes   hours to complete the work
Then,