SOLUTION: An investigator is given two reports to read. Report P is 160 pages long and takes the investigator 3 hours and 20 minutes to read. If Report S is 254 pages long and the investigat

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An investigator is given two reports to read. Report P is 160 pages long and takes the investigator 3 hours and 20 minutes to read. If Report S is 254 pages long and the investigat      Log On


   

Question 1173599: An investigator is given two reports to read. Report P is 160 pages long and takes the investigator 3 hours and 20 minutes to read. If Report S is 254 pages long and the investigator reads it at the same rate as he reads Report P, how long will it take him to read Report S?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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First convert 3 hours and 20 minutes to 3*60+20 = 200 minutes.


Then use the proportion


    160_pages%2F200_minutes = 254_pages%2Fx_minutes,


saying that the rate of reading is the same in both cases.


From the proportion get the ANSWER


    x = %28200%2A254%29%2F160 = 317.5 minutes = 5 hours and 17.5 minutes.

Solved.