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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: 43785
The formulas above are used to compute the distance a car travels afte [#permalink]

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23 Nov 2015, 11:40
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Difficulty:

15% (low)

Question Stats:

85% (01:54) correct 15% (01:33) wrong based on 46 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

[Reveal] Spoiler:
Attachment:

2015-11-23_2339.png [ 7.04 KiB | Viewed 962 times ]
[Reveal] Spoiler: OA

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Joined: 13 Apr 2015
Posts: 1577
Location: India
Concentration: Strategy, General Management
WE: Analyst (Retail)
Re: The formulas above are used to compute the distance a car travels afte [#permalink]

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

Manager
Joined: 02 Jun 2015
Posts: 91
Location: Brazil
Concentration: Entrepreneurship, General Management
GPA: 3.3
Re: The formulas above are used to compute the distance a car travels afte [#permalink]

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28 Nov 2015, 03:31
$$t = \frac{2d}{v}$$
$$6 = \frac{2d}{v}$$
$$3v = d$$

----

$$d = \frac{3vˆ2}{20}$$
$$3v = \frac{3vˆ2}{20}$$
$$V = 20$$
Math Expert
Joined: 02 Aug 2009
Posts: 5647
Re: The formulas above are used to compute the distance a car travels afte [#permalink]

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28 Nov 2015, 06:37
1
KUDOS
Expert's post
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

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

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22 Oct 2017, 01:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The formulas above are used to compute the distance a car travels afte   [#permalink] 22 Oct 2017, 01:11
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