Eric and Jane work for Omega Airlines and their job is to clean aircrafts after landing to make it ready for the next set of passengers to board. It takes Eric 4 hours to clean an aircraft himself. It takes Jane 6 hours to clean the same aircraft by herself.
How long will it take them if they start working on cleaning the aircraft together and neither of them stops until the aircraft is completely clean?
Answers
Answer:
Eric and Jane work for Omega Airlines and their job is to clean aircrafts after landing to make it ready for the next set of passengers to board. It takes Eric 4 hours to clean an aircraft himself. It takes Jane 6 hours to clean the same aircraft by herself.
How long will it take them if they start working on cleaning the aircraft together and neither of them stops until the aircraft is completely clean?
Step-by-step explanation:
Given: Eric and Jane work for Omega Airlines and their job is to clean aircrafts after landing to make it ready for the next set of passengers to board. It takes Eric 4 hours to clean an aircraft himself. It takes Jane 6 hours to clean the same aircraft by herself.
To find: Time taken if they start working on cleaning the aircraft together and neither of them stops until the aircraft is completely clean
Explanation: Time taken by Eric to clean the aircraft= 4 hours
Eric's one hour work= 1/4 of the work
Time taken by Jane to clean the aircraft= 6 hours
Eric's one hour work= 1/6 of the work
Total work done by Eric and Jane in 1 hour
= 1/6 + 1/4
= 2+3/12
= 5/12
Therefore, they do 5/12 of the work in 1 hour.
Total time taken by both of them to complete the work
= 1/ 1 hour work done by both of them
= 1/ (5/12)
= 12/5
= 2.4 hours
Therefore, both Eric and Jane take 2.4 hours to completely clean the aircraft.