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2 years ago

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Leila drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Leila drov

e home, there was no traffic and the trip only took 7 hours. If her average rate was 18 miles per hour faster on the trip home, how far away does Leila live from the mountains?

1 answer:

9966 [12]2 years ago

5 0

Answer:

420 miles

Explanation:

Since distance is speed times time taken, you get two conditions:

$\left \{ {{d=v*10} \atop {d=(v+18)*7}} \right.$

Easiest way to solve it is to set the two condition equal - she's coming and going from the same place after all - and you get $10v=(v+18)*7\\10v=7v+3*6*7\\3v=3*6*7 \\v=42$ Replace in either equation and you'll get $d=420$

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Complete question:

A long, straight wire lies along the z-axis and carries a 4.00-A current in the +z-direction. Find the magnetic field (magnitude and direction) produced at the following points by a 0.500-mm segment of the wire centered at the origin:

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b) r = (2.00m) j

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$B = [(1.00*10^-^7 T.m/A)(4.20A)(1*10^-^3m^2)] / (\sqrt{2})(2.00)^3$ ;

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