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Before leaving home for the town of Madison, Pete checks a

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cano
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Before leaving home for the town of Madison, Pete checks a [#permalink] New post   17 Sep 2010, 03:24
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Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?

A. 1/3
B. 1/30
C. 1/10
D. 2
E. 30
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B
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alexn49
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Re: Map of Madison [#permalink] New post   17 Sep 2010, 03:39
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5 inches is 2.5 hours so it means that 1 inch is 0.5 hours, i.e. 30 minutes
In one hours at 60 mph, he will have driven 60 miles so in 30 minutes it is 30 miles.

In other words

at 1 inch corresponds 30 minutes
at 30 minutes corresponds 30 miles

so at 1 inch corresponds 30 miles. The scale is draw 1/30

ANS: B

Hope it's clear
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Re: Map of Madison [#permalink] New post   17 Sep 2010, 03:41
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cano wrote:
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?

A. \(\frac{1}{3}\)

B. \(\frac{1}{30}\)

C. \(\frac{1}{10}\)

D. 2

E. 30


Pete covered 2.5*60=150 miles which correspond to 5 inches on the map --> scale in inches per mile is 5/150=1/30.

Answer: B.
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   07 Feb 2015, 12:09
alexn49 wrote:
5 inches is 2.5 hours so it means that 1 inch is 0.5 hours, i.e. 30 minutes
In one hours at 60 mph, he will have driven 60 miles so in 30 minutes it is 30 miles.

In other words

at 1 inch corresponds 30 minutes
at 30 minutes corresponds 30 miles

so at 1 inch corresponds 30 miles. The scale is draw 1/30

ANS: B

Hope it's clear


I go that the 1 inch = 30 miles
But how does that mean the scale is drawn at 1/30 . I just don't understand the words actually. Can anybody explain it to me.
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   07 Feb 2015, 12:34
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Hi Salvetor,

You correctly calculated that 1 inch = 30 miles. With this information, you can set up two fairly obvious ratios:

inches/mile = 1/30

miles/inch = 30/1

The question asks for the first ratio.

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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   07 Feb 2015, 15:18
EMPOWERgmatRichC wrote:
Hi Salvetor,

You correctly calculated that 1 inch = 30 miles. With this information, you can set up two fairly obvious ratios:

inches/mile = 1/30

miles/inch = 30/1

The question asks for the first ratio.

GMAT assassins aren't born, they're made,
Rich


Thanks for pointing that out. I looked at the question and everything is fine to me now :)
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   16 Jan 2016, 07:51
The total distance is 150 miles. This corresponds to 5 inches. So we can draw the ratio 150 miles/5 inches. Now we are asked for inches/1 miles
So, we can establish the following relationship 150 miles/5 inches = 1 miles/x inches. x inches = 5/150 = 1/30. Answer choice B.
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Before leaving home for the town of Madison, Pete checks a [#permalink] New post   21 Jun 2019, 08:03
Formula: D = R * T
D = ?
R = 60 mph
T = 2.5 hours

D = 60 * 2.5

150 miles

Inch/mile = 5 inches/1 mile * 1 inch/150 miles


5 inches/150 miles = 1/30
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   08 Sep 2019, 06:51
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cano wrote:
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?

A. 1/3
B. 1/30
C. 1/10
D. 2
E. 30


We see that Pete has driven 60 x 2.5 = 150 miles from Madison to Gardensquare. Since this distance is 5 inches on the map, then the map’s scale is represented by 150/5 = 30 miles per inch, or 1/30 inches per mile.

Answer: B
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   08 Sep 2019, 06:57
cano wrote:
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?

A. 1/3
B. 1/30
C. 1/10
D. 2
E. 30


Given:
1. Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare.
2. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour.

Asked: At what scale, in inches per mile, is the map drawn?

Distance from Madison to Gardensquare on map = 5 inches

Distance from Madison to Gardensquare actual = 2.5 * 60 miles = 150 miles

Inches : miles = 5:150 = 1:30

IMO B
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink] New post   26 Mar 2024, 22:51
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Re: Before leaving home for the town of Madison, Pete checks a [#permalink]
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