Difference between revisions of "1950 AHSME Problems/Problem 27"

Revision as of 13:30, 17 April 2012

Problem

A car travels $120$ miles from $A$ to $B$ at $30$ miles per hour but returns the same distance at $40$ miles per hour. The average speed for the round trip is closest to:

$\textbf{(A)}\ 33\text{ mph}\qquad\textbf{(B)}\ 34\text{ mph}\qquad\textbf{(C)}\ 35\text{ mph}\qquad\textbf{(D)}\ 36\text{ mph}\qquad\textbf{(E)}\ 37\text{ mph}$

Solution

The car takes $120 \text{ miles }\cdot\dfrac{1 \text{ hr }}{30 \text{ miles }}=4 \text{ hr}$ to get from $A$ to $B$ . Also, it takes $120 \text{ miles }\cdot\dfrac{1 \text{ hr }}{40 \text{ miles }}=3 \text{ hr}$ to get from $B$ to $A$ . Therefore, the average speed is $\dfrac{240\text{ miles }}{7 \text{ hr}}=34\dfrac{2}{7}\text{ mph}$ , which is closest to $\textbf{(B)}\ 34\text{ mph}$ .

1950 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 26	Followed by Problem 28
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All AHSME Problems and Solutions

Revision as of 19:12, 8 December 2011 (view source) Yankeesfan (talk \| contribs) (Created page with "== Problem== A car travels <math>120</math> miles from <math>A</math> to <math>B</math> at <math>30</math> miles per hour but returns the same distance at <math>40</math> miles ...")		Revision as of 13:30, 17 April 2012 (view source) 1=2 (talk \| contribs) m Newer edit →
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	{{AHSME box\|year=1950\|num-b=26\|num-a=28}}		{{AHSME box\|year=1950\|num-b=26\|num-a=28}}
		+	[[Category:Introductory Algebra Problems]]

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Difference between revisions of "1950 AHSME Problems/Problem 27"

Revision as of 13:30, 17 April 2012

Problem

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