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# If 100 cars drive down 3rd Avenue ever y hour, three times as many car

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Math Expert
Joined: 02 Sep 2009
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If 100 cars drive down 3rd Avenue ever y hour, three times as many car  [#permalink]

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25 Jul 2018, 21:49
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Difficulty:

35% (medium)

Question Stats:

85% (01:24) correct 15% (02:43) wrong based on 27 sessions

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If 100 cars drive down 3rd Avenue ever y hour, three times as many cars use 2nd Avenue as use 3rd Avenue, and 1/4 of the cars on both avenues are taxis, how many taxis drive down 2nd Avenue ever y hour?

A. 25
B. 50
C. 60
D. 75
E. 200

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Re: If 100 cars drive down 3rd Avenue ever y hour, three times as many car  [#permalink]

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25 Jul 2018, 22:13
100 cars drive down 3rd Avenue ever y hour

three times as many cars use 2nd Avenue as use 3rd Avenue

=> number of cars on 2nd avenue = 3 * 100 = 300

1/4 of the cars on both avenues are taxis

=> number of taxis that drive down 2nd Avenue ever y hour = $$\frac{1}{4} * 300$$ = 75

Hence option D
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Re: If 100 cars drive down 3rd Avenue ever y hour, three times as many car  [#permalink]

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25 Jul 2018, 23:27

Solution

Given:

• 100 cars drive down 3rd Avenue every y hour.
• Three times as many cars use 2nd Avenue as 3rd Avenue.
• 1/4 of the cars on both avenues are taxis

To find:

• The number of taxis driving down 2nd Avenue every y hour.

Approach and Working:

• Since three times as many cars use 2nd Avenue as 3rd Avenue, the number of cars using 2nd avenue= 300
o Hence, the number of taxis using 2nd avenue= $$300*\frac{1}{4}= 75$$.

Hence, the correct answer is option D.

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Re: If 100 cars drive down 3rd Avenue ever y hour, three times as many car  [#permalink]

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30 Jul 2018, 11:31
Bunuel wrote:
If 100 cars drive down 3rd Avenue ever y hour, three times as many cars use 2nd Avenue as use 3rd Avenue, and 1/4 of the cars on both avenues are taxis, how many taxis drive down 2nd Avenue ever y hour?

A. 25
B. 50
C. 60
D. 75
E. 200

We see that 100 x 3 = 300 cars drive down 2nd Avenue and ¼(300) = 75 of these cars are taxis.

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Re: If 100 cars drive down 3rd Avenue ever y hour, three times as many car &nbs [#permalink] 30 Jul 2018, 11:31
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