vgirl270
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Emily runs at a constant speed of 12 miles per hour, while Michelle runs at a constant speed of 8 miles per hour. They both start in the sam place on a circular track 1/4 mile long and run in opposite directions. How many miles will Emily have run when they meet for the tenth time?

Respuesta :

SinghRoxx

Heya, here is your Answer :-


First we'll consider the following information :


let Time taken by both of them to meet for the first time be x.

Speed (mi/h) Time (hours) Distance (miles)

Emily 12 x 12x

Michelle 8 x 8x


According to the Question,


12x + 8x = [tex] \frac{1}{4} [/tex]

20x = [tex] \frac{1}{4} [/tex]

x = [tex] \frac{1}{4 * 20} [/tex]

x = [tex] \frac{1}{80} [/tex]


So,

Time is 1/80 hours.


Then,


Distance covered by Emily when they

first meet = 12x = 12 * [tex] \frac{1}{80} [/tex] = 3/20 miles


Distance covered by Michelle when they

first meet = 8x = 8 * [tex] \frac{1}{80} [/tex] = 1/10 miles


So,


Distance covered by Emily after 10 rounds or after

they meet 10 times = [tex] \frac{3 * 10}{20} [/tex] = 3/2 = 1.5 miles


So,


Emily would have traveled 1.5 miles after the both meet for the Tenth Time.

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