clarisse0810 clarisse0810

Today at 6:26 AM
Mathematics

Answered

raj leaves his house on his bicycle at an average speed of 10 miles per hour. his friend, ruth, leaves 1/2 hour later, following the same route and averaging 14 miles per hour. at what distance, in miles, from raj's house will ruth overtake him?

Answer :

vuvuong003 vuvuong003

Today at 6:31 AM

First set up equation for Raj, which is 10x + .5, .5 is the y-intercept because he got a head start of .5 hours
Ruth, 14x
10x + .5 = 14x
- .5 -.5
10x = 14x - .5
-14x -14x
-4x = -.5
/-4 /-4
x = .125 miles
So she will overtake him at more than .125 miles
I hop this is right, and hope this helps

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