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Patrick takes 2 hours to drive in his car from point A to point B. Wha

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Patrick takes 2 hours to drive in his car from point A to point B. Wha  [#permalink]

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New post 10 Mar 2019, 10:09
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Patrick takes 2 hours to drive in his car from point A to point B. What is the distance between A and B?

(1) If his average speed for the journey had been 20 kilometers per hour greater, he would have taken only 1 hour and 36 minutes to reach point B

(2) Patrick covered an average of 800 meters every 36 seconds

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D)EACH statement ALONE is sufficient to answer the question asked.

E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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Re: Patrick takes 2 hours to drive in his car from point A to point B. Wha  [#permalink]

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New post 10 Mar 2019, 10:54
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Patrick takes 2 hours to drive in his car from point A to point B. What is the distance between A and B?

(1) If his average speed for the journey had been 20 kilometers per hour greater, he would have taken only 1 hour and 36 minutes to reach point B
The speed when the car covers the distance in 2 hr is \(\frac{d}{2}\), and the speed when the time taken is 1hr 36 minutes or 1+\frac{36}{60}=1.6 hr is \(\frac{d}{1.6}\). Now, \(\frac{d}{1.6}-\frac{d}{2}=20.........2d-1.6d=20*2*1.6.......0.4d=64......d=160km\)

(2) Patrick covered an average of 800 meters every 36 seconds.
If he travels 800 meters in 36 seconds, he will travel \(\frac{800}{1000}*\frac{60*60}{36}*2 =0.8*100*2=160km\)
Sufficient

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Re: Patrick takes 2 hours to drive in his car from point A to point B. Wha   [#permalink] 10 Mar 2019, 10:54
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Patrick takes 2 hours to drive in his car from point A to point B. Wha

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