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Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

If Lucy walks to work at a rate of 4 miles per hour, but she walks hom
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Updated on: 24 May 2017, 08:05

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If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?

A. 4.2 miles/hour B. 4.4 miles/hour C. 4.8 miles/hour D. 5 miles/hour E. 5.8 miles/hour

If Lucy walks to work at a rate of 4 miles per hour, but she walks hom
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Updated on: 25 May 2018, 15:09

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shashankism wrote:

If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip? A. 4 miles/hour B. 5 miles/hour C. 4.5 miles/hour D. 5.5 miles/hour E. 6 miles/hour

A quick approach is to assign a nice value to the distance from home to work. That is, we want a distance that works well with the two speeds (4 mph and 6 mph) Let's say the distance from home to work = 12 miles

Time TO work = distance/speed = 12/4 = 3 hours Time FROM work = distance/speed = 12/6 = 2 hours TOTAL time = 3 + 2 = 5 hours

TOTAL distance = 12 + 12 = 24 miles

Average speed = total distance/total time = 24/5 miles per hour = 4.8 miles per hour

Re: If Lucy walks to work at a rate of 4 miles per hour, but she walks hom
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24 May 2017, 08:06

shashankism wrote:

If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?

A. 4.2 miles/hour B. 4.4 miles/hour C. 4.8 miles/hour D. 5 miles/hour E. 5.8 miles/hour

Edited. As correctly noted above, the correct answer is 4.8 miles per hour.
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Re: If Lucy walks to work at a rate of 4 miles per hour, but she walks hom
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24 May 2017, 08:11

shashankism wrote:

If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?

A. 4.2 miles/hour B. 4.4 miles/hour C. 4.8 miles/hour D. 5 miles/hour E. 5.8 miles/hour

\(Average \ Speed = \frac{2*4*6}{(4 +6)}\)

Or, \(Average \ Speed = \frac{48}{10}\)

Or, \(Average \ Speed = 4.80\)

Thus, the answer must be (C) 4.8 miles/hour _________________

Thanks and Regards

Abhishek....

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Concentration: General Management, Entrepreneurship

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WE: Engineering (Energy and Utilities)

Re: If Lucy walks to work at a rate of 4 miles per hour, but she walks hom
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24 May 2017, 20:23

Bunuel wrote:

shashankism wrote:

If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?

A. 4.2 miles/hour B. 4.4 miles/hour C. 4.8 miles/hour D. 5 miles/hour E. 5.8 miles/hour

Edited. As correctly noted above, the correct answer is 4.8 miles per hour.

Thanks Bunuel.. The correct answer is 4.8 miles/hr.. Somehow while giving option I missed the original answer..
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Re: If Lucy walks to work at a rate of 4 miles per hour, but she walks hom
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10 Feb 2019, 08:56

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shashankism wrote:

If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?

A. 4.2 miles/hour B. 4.4 miles/hour C. 4.8 miles/hour D. 5 miles/hour E. 5.8 miles/hour