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OG: A salesperson who had been driving at a speed of 100 kilometers

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OG: A salesperson who had been driving at a speed of 100 kilometers

by AbeNeedsAnswers » Sat May 16, 2020 7:13 pm

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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

B
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Re: OG: A salesperson who had been driving at a speed of 100 kilometers

by Brent@GMATPrepNow » Tue May 19, 2020 9:55 am
AbeNeedsAnswers wrote: ↑
Sat May 16, 2020 7:13 pm
 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

B
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

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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