Bhavika alone would take 8 hrs more to complete the job than when Bhavika and Rita worked together. If Rita worked alone, she would take 4 1\2h more to complete the job than when Bhavika and Rita worked together. What time would they take if both Bhavika and Rita worked together?

Explanation:

Let Bhavika and Rita working together can finish a job in x days. Then, in 1 day they will complete

= 1\x work

Bhavika working alone do in 1 day

= 1\(x+8) work

Rita working alone will do in 1 day

= 1\(x+92 work

∴ 1\(x+8)+2\(2x+9) = 1\x

=> (2x+9)+2(x+8)\(x+8)(2x+9) = 1\x

=> 4x+25\(x+8)(2x+9) = 1\x

=> x = 6 days.