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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   

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) About Me  (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