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A salesperson who had been driving at a speed of 100 kilometers per ho

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A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 20 Apr 2020, 09:39
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A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced?
(1 kilometer ≈ 0.625 mile)

A. 29
B. 33
C. 53
D. 63
E. 75

PS92820.02
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 28 Apr 2020, 08:32
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gmatt1476 wrote:
A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced?
(1 kilometer ≈ 0.625 mile)

A. 29
B. 33
C. 53
D. 63
E. 75

PS92820.02


A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour.
Reduction in speed = 100 - 47 = 53 kilometers per hour
We can use equivalent ratios to convert 53 kilometers per hour to miles per hour.

We are told that 1 kilometer ≈ 0.625 miles

So, if we use the ratio kilometers/miles, we can express the relationship as: kilometers/miles = 1/0.625
Let x = the desired speed (in mph)
We can now write: 1/0.625 = 53/x
Cross multiply to get: 1x = (53)(0.625) ≈ 33 mph

Answer: B

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Brent
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 21 Apr 2020, 08:30
1
gmatt1476 wrote:
A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced?
(1 kilometer ≈ 0.625 mile)

A. 29
B. 33
C. 53
D. 63
E. 75

PS92820.02


net change in speed ; ( 100-47) ; 53 kmph
1 km = .625 miles
so in 1 hour distance ; 53 kmph or say 55 *.625 ; 33 miles
OPTION B
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 21 Apr 2020, 08:37
1
gmatt1476 wrote:
A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced?
(1 kilometer ≈ 0.625 mile)

A. 29
B. 33
C. 53
D. 63
E. 75

PS92820.02


Now, the speed reduced by 100-47=53kmph...

All you have to do is convert 53 km into miles, so 53*0.625.
Now 53*0.625>50*0.6 or >30...Eliminate A
53*0.625<53*1 or <53....Eliminate C, D and E

Answer B
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 16 May 2020, 01:41
Bunuel is there a tag specifically to practice such conversion questions? 2021OG seems to have a quite few of this type.
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 16 May 2020, 01:45
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho  [#permalink]

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New post 31 May 2020, 12:46
Difference between the speeds is 100kmpd - 47kmph = 53kmph ≈ 50kmph

1 kilometer ≈ 0.625 mile ≈ 0.6 mlie

Speed in miles per hour ≈ 50*0.6 ≈ 30

Answer has to be slightly greater than 30

Therefore answer is Option B
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Re: A salesperson who had been driving at a speed of 100 kilometers per ho   [#permalink] 31 May 2020, 12:46

A salesperson who had been driving at a speed of 100 kilometers per ho

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