Keith ran in a marathon. itt took him 3 hours and 2 minutes to run 26 miles. If he ran at the same rate for the whole race , how
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Time taken by jerry alone is 10.1 hours
Time taken by callie alone is 8.1 hours
<u>Solution:</u>
Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can
Let the time taken by Terry be "a" hours
So, the time taken by Callie will be (a-2) hours
Hence, the efficiency of Callie and Terry per hour is
If they work together they can do the entire prospectus in five hours
On cross-multiplication we get,
On cross multiplication ,we get
<em><u>using quadratic formula:-</u></em>
If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value
Let us take a = 10.1
So time taken by jerry alone = a = 10.1 hours
Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours