# 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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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.

Znljrngure (69)
Duke University
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