A और B अलग-अलग एक काम को क्रमशः 24,32 दिन में समाप्त कर सकते हैं दोनों मिलकर एक साथ काम शुरू करते हैं कितने दिन बाद B ने काम छोड़ा कि पूरा काम 18 दिन में समाप्त हो
Answers
Answer:
A and B can finish a work separately in 24,32 days respectively.They both start work together after how many days B left the work so that the entire work is finished in 18 days
Step-by-step explanation:
They started the work together and A left just 4 days before the completion. Let's find out the Number of days required by A and B together...
1/24 + 1/32 = (4+3)/96 = 7/96 part in a day and they would require 1/(7/96) = 96/7 = 13 5/7 days.
But A left 4 days before completing the work and that would stretch the work by extra days i.e...
A's 4 days work is equal to 1/24 x 4 = 1/6 part of the work to be completed by B at his individual per day capacity of 1/32 part of the work that means B would take...
1/6 divided by 1/32 = 32/6 = 5 days 8 hours.
And the whole work would continue from the original time of 13 5/7 days plus 5 2/6 days or 5 days 8 hours is equal to...
19 days and 1 hour 15 minutes. It means the whole work would be completed on the 20th day.
B would take 5 days 8 hours more to complete the work.