lets go for a stroll

User Generated

evgmcngry0

Mathematics

Question Description

Rob & Jen live 8.8 mi apart. when walk same way rob overtakes jen 11 hr. if walk to each other 1 hr. @ wat speeds they walk? 

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Explanation & Answer

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Thank you for the opportunity to help you with your question!

Let Rob speed be x mph and Jen Speed by y mph

Distance = 8.8 miles

When they walk in same direction their relative speed will be x-y since Rop walks faster.

Time taken by Rob to ovetake = Distance/ Relative speed

= 8.8/(x-y)

so  11 = 8.8/(x-y)

11x - 11y  = 8.8.....................equation 1

When they walk to each their relative speed willl be x +y

Time Take to meet = Distance/ Relative speed

= 8.8/(x+y)

so 1 = 8.8/(x+y)

x + y = 8.8...................................equation 1

Now lets solve the simultaneous equation:

11x - 11y  = 8.8

11( x + y = 8.8) = 11x+11y = 96.8

11x -11y = 8.8

11x+11y = 96.8

22x = 105.6

x = 4.8

x + y = 8.8...................................equation 1

y = 8.8 -4.8

y = 4

So Rob speed  is 4.8 mph while the speed of Jen is 4 mph.



Please let me know if you need any clarification. I'm always happy to answer your questions.Please let me know if you need any clarification. I'm always happy to answer your questions.

Znljrngure (69)
Duke University

Anonymous
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