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# The formulas above are used to compute the distance a car travels afte

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Math Expert
Joined: 02 Sep 2009
Posts: 50007
The formulas above are used to compute the distance a car travels afte  [#permalink]

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23 Nov 2015, 12:40
1
00:00

Difficulty:

15% (low)

Question Stats:

90% (02:09) correct 10% (02:05) wrong based on 53 sessions

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The formulas above are used to compute the distance a car travels after the brakes are applied. If the driver of a car applied the brakes just as a traffic light turned yellow and stopped exactly 6 seconds later, what is the value of v ？

(A) 20
(B) 80/3
(C) 30
(D) 40
(E) 60

Attachment:

2015-11-23_2339.png [ 7.04 KiB | Viewed 1068 times ]

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Re: The formulas above are used to compute the distance a car travels afte  [#permalink]

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23 Nov 2015, 21:32
d = (3v^2/20); d = tv/2
(tv/2) = (3v^2/20)
v = 10t/3; t = 6
v = 20

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Re: The formulas above are used to compute the distance a car travels afte  [#permalink]

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28 Nov 2015, 04:31
$$t = \frac{2d}{v}$$
$$6 = \frac{2d}{v}$$
$$3v = d$$

----

$$d = \frac{3vˆ2}{20}$$
$$3v = \frac{3vˆ2}{20}$$
$$V = 20$$
Math Expert
Joined: 02 Aug 2009
Posts: 6971
Re: The formulas above are used to compute the distance a car travels afte  [#permalink]

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28 Nov 2015, 07:37
1
Bunuel wrote:

The formulas above are used to compute the distance a car travels after the brakes are applied. If the driver of a car applied the brakes just as a traffic light turned yellow and stopped exactly 6 seconds later, what is the value of v ？

(A) 20
(B) 80/3
(C) 30
(D) 40
(E) 60

Attachment:
2015-11-23_2339.png

1)$$t=\frac{2d}{v}$$.....
$$6=\frac{2d}{v}$$
so $$\frac{d}{v}=3$$

2)$$d=\frac{3v^2}{20}$$
$$\frac{d}{v}=\frac{3v}{20}$$
from 1) $$\frac{d}{v}=3..$$
so$$3=\frac{3v}{20}$$
or $$v=20$$..
A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: The formulas above are used to compute the distance a car travels afte  [#permalink]

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22 Oct 2017, 02:11
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Re: The formulas above are used to compute the distance a car travels afte &nbs [#permalink] 22 Oct 2017, 02:11
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