A and b together complete a work in 9 days time taken by a to complete the work alonw is 7.5 days less than b.in ow many days b can complete the work 2/9 part.
Answers
Answer:
h,mmmmmmmmmmmmmmmmmm
Given : A and b together complete a work in 9 days time taken by a to complete the work alone is 7.5 days less than b.
To Find : In How many days b can complete the work 2/9 part.
Solution:
Time taken by B to complete work = B days
Time taken by A to complete work = B- 7.5 days
= (2B - 15)/2
A and b together complete a work in 9 days
=> 1/(2B - 15)/2 + 1/ B = 1/9
=> 2/(2B - 15) + 1/B = 1/9
=> 18 B + 9 (2B - 15) = B(2B - 15)
=> 18B + 18B - 135 = 2B² -15B
=> 2B² - 51B + 135 = 0
=> 2B² - 6B - 45B + 135 = 0
=> 2B(B - 3) - 45(B - 3) = 0
=> (2B - 45)(B - 2) = 0
=> B = 45/2 Days as B = 3 not possible A takes 7 days less than B
b can complete the work 2/9 part. = (2/9) (45/2) = 5 days
5 days is correct answer
learn More:
Pipe a pipe can fill a tank in 15 minutes and another one in 10 ...
brainly.in/question/14352511
A pipe can fill the tank in 20 min and another pipe can fill the tank
brainly.in/question/9388454
If two pipes function simultaneously, the reservoir will be filled in 12 ...
brainly.in/question/8254975