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12 Jan 2021, 07:23
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
63% (02:52) correct
37%
(02:47)
wrong
based on 76
sessions
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On her way to work, Angela traveled \(p\) percent of the total trip at an average speed of \(v\) miles per hour and the rest of the distance at an average speed that was one-fifth less than \(v\). In terms of \(p\) and \(v\), what was Angela’s average speed for the entire commute?
(A)\( \frac{400v }{ 500 - p}\)
(B)\( \frac{500v }{ 400 - p}\)
(C)\( \frac{500v }{ 500 - p}\)
(D) \(\frac{500v }{ 600 - p}\)
(E) \(\frac{600v }{ 500 - p}\)
(A)\( \frac{400v }{ 500 - p}\)
(B)\( \frac{500v }{ 400 - p}\)
(C)\( \frac{500v }{ 500 - p}\)
(D) \(\frac{500v }{ 600 - p}\)
(E) \(\frac{600v }{ 500 - p}\)
13 Jan 2021, 03:41
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sjuniv32
On her way to work, Angela traveled \(p\) percent of the total trip at an average speed of \(v\) miles per hour and the rest of the distance at an average speed that was one-fifth less than \(v\). In terms of \(p\) and \(v\), what was Angela’s average speed for the entire commute?
(A)\( \frac{400v }{ 500 - p}\)
(B)\( \frac{500v }{ 400 - p}\)
(C)\( \frac{500v }{ 500 - p}\)
(D) \(\frac{500v }{ 600 - p}\)
(E) \(\frac{600v }{ 500 - p}\)
(A)\( \frac{400v }{ 500 - p}\)
(B)\( \frac{500v }{ 400 - p}\)
(C)\( \frac{500v }{ 500 - p}\)
(D) \(\frac{500v }{ 600 - p}\)
(E) \(\frac{600v }{ 500 - p}\)
When options have variables, plugging in values is a quick way to do it. I love plugging in 0s and 1s.
If p% distance is at v and rest at 4v/5, I assume that p = 0. So the entire distance was covered at speed 4v/5 so the average speed will be 4v/5.
I am looking for an option that gives me 4v/5 when p = 0.
Only option (A) does that.
General Discussion
12 Jan 2021, 14:44
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We can infer that average speed of the trip must be less than v. Eliminate B, C and E
Assume p=50 and v=10
Average speed =\(\frac{2*10*8}{(10+8)} = \frac{80}{9}\)
Option A-\( \frac{400v}{500-p} = \frac{400*10}{450} = \frac{400}{45} = \frac{80}{9}\) (answer)
Assume p=50 and v=10
Average speed =\(\frac{2*10*8}{(10+8)} = \frac{80}{9}\)
Option A-\( \frac{400v}{500-p} = \frac{400*10}{450} = \frac{400}{45} = \frac{80}{9}\) (answer)
sjuniv32
On her way to work, Angela traveled \(p\) percent of the total trip at an average speed of \(v\) miles per hour and the rest of the distance at an average speed that was one-fifth less than \(v\). In terms of \(p\) and \(v\), what was Angela’s average speed for the entire commute?
(A)\( \frac{400v }{ 500 - p}\)
(B)\( \frac{500v }{ 400 - p}\)
(C)\( \frac{500v }{ 500 - p}\)
(D) \(\frac{500v }{ 600 - p}\)
(E) \(\frac{600v }{ 500 - p}\)
(A)\( \frac{400v }{ 500 - p}\)
(B)\( \frac{500v }{ 400 - p}\)
(C)\( \frac{500v }{ 500 - p}\)
(D) \(\frac{500v }{ 600 - p}\)
(E) \(\frac{600v }{ 500 - p}\)
