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Luis Nunez begins walking at a rate of 8 mph. Forty-five minutes after he​ leaves, his​ wife, Kristin, realizes that Luis has forgotten his wallet. Kristin gets on her bicycle and begins riding at a rate of 28 mph along the same path that Luis took.
a) how long will it take Kristin to catch luis?
b) how far from their house will Kristin catch luis?

 Mar 10, 2020
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Here is Luis' head start      rate x time = distance

                                            8 m/h   x 3/4 h = 6 miles   (Luis' walks really fast !)

 

Kristen then takes off on here bike (she is pretty fast too!)

    when are the two distances of L and K equal?

 

Luis will go    6 m  +  8 m/h * x    miles

Kristen will go        28 m/h *x   miles                these miles are equal when K catches L

 

6 + 8x = 28 x         solve for 'x' which is th amount of HOURS they will meet

6 = 20x

x = 3/10 hr     after K takes off on her bike she will catch L

 

How far is that?    28 m/hr x 3/10 hr = 8.4 miles from home....  and hopefully K has BROUGHT the wallet and not just the info that L forget it! !

 Mar 10, 2020
edited by ElectricPavlov  Mar 10, 2020
edited by ElectricPavlov  Mar 10, 2020
edited by ElectricPavlov  Mar 10, 2020

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