An application of rational functions may involve the number of persons who can do a task in a certain amount of time. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. Work - Rate x Time. Suppose you can finish a report in 2 hours. Your classmate can finish the same report in 4 hours. How long will it take to finish the report if both of you work together? We have a saying that "Two heads are better than one", would you rather work alone or with a team? Why?
Answers
Answer:
1 hour and 20 minutes
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Step-by-step explanation:
1/x =1/240 + 1/120
[1/x=1/240 + 1/120] 240x
Imultiply and 240x sa lahat ng fraction, pero divide na agad sa denominator para matanggal na ang mga dapat matanggal.
240= x + 2x
240= 3x
240/3 = 3x/3
80=x
bali 80 minutes nio matatapos pag nag work together kayo, Kapag nilagay natin sa hour, matatapos nio ng 1 hour and 80 min.
Given : you can finish a report in 2 hours. Your classmate can finish the same report in 4 hours
To Find : How long will it take to finish the report if both of you work together?
Solution:
Finish report in 2 hrs
Work done in 1hr = 1/2
finish the same report in 4 hours
=> work done in 1 hr = 1/4
Work done by together in 1hr = 1/2 + 1/4
= 3/4
Time taken to complete work = 1/(3/4) = 4/3 hr
= 1 hr 20 mins
Its better to work in team
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