SOLUTION: Two airplanes working together can take the necessary photographs to map a certain region in 5 hours. After they had worked for 3 hours the first plane developed engine trouble and

Question 767291: Two airplanes working together can take the necessary photographs to map a certain region in 5 hours. After they had worked for 3 hours the first plane developed engine trouble and the second had to finish the job, requiring 4 1/2 hours of additional work. How long would it take each plane to do the job?
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
let airplane can take to complete the task x hrs
and other can take y hrs
first plane hrs work=1/x
second plane 1 hrs work =1/y
both plane 1 hrs work =1/x +1/y
both plane 3hrs work =3/x+3/y and work completed 3/5
remaining work =1-3/5=2/5second has to finished the work in 9/2 hrs
full work can be done by second plane in 9/2x2/5=45 hrs
full work can be done by first alone = 45/8 hrs
RELATED QUESTIONS
Two airplanes working together can take the necessary photographs to map to a certain... (answered by htmentor)

Work problems: 1. Two weather satellites working together, each starting at opposite... (answered by mananth)

Jeannie and Ella work as sorters in a post office. If they work together, they can... (answered by richwmiller)

"This is the problem. Would you please help me with this? Thank You!" ---> A and B... (answered by ankor@dixie-net.com)

A and B working together can finish a certain job in 20/3 hours. They start the work... (answered by stanbon)

working alone, Wade can paint a certain room in 9 hours. Phil, working alone, can paint... (answered by josmiceli)

Working alone, Phil can paint a certain room in 9 hours. Wade, working alone, can paint... (answered by richwmiller)

Jeannie and Ella work as a sorters in the post office. If they work together they can... (answered by richwmiller)

It takes Myline twice as long as Jeana to do a certain piece of work. Working together,... (answered by Edwin McCravy)