Math, asked by shirishgoyal98, 9 days ago

ajay and beena complete a work in 48 days. Ajay alone can complete the work in 64 days. Ajay and Beena worked together for 30 days​

Answers

Answered by Hansika4871
1

Given,

Completion time of both=48days

Alone Ajay can complete=64days

Both worked together for 64 days

To Find,

No of days of work by Beena.

Solution,

Let Beena will take x days to complete the remaining job.

According to the question,

1/A+1/B=1/48 and 1/A=1/64

1/B=1/48−1/64=1/192

⇒B =192 days

According to the question,

30×(1/A+1/B)+x ×1/B=1

30×1/64+x/192=1

⇒30/64+x/192=1

⇒x/192=1−30/64

⇒x=192×34/64

⇒x=102

Hence, B completes the remaining job in 64 days.

Similar questions