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# Angelina walked 360 meters from her home to the grocery at a constant

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Math Expert
Joined: 02 Sep 2009
Posts: 59722
Angelina walked 360 meters from her home to the grocery at a constant  [#permalink]

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06 Nov 2019, 06:26
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52% (02:32) correct 48% (02:40) wrong based on 84 sessions

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Angelina walked 360 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?

A. 2
B. 3
C. 4
D. 6
E. 12

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Intern
Joined: 17 Oct 2016
Posts: 3
Re: Angelina walked 360 meters from her home to the grocery at a constant  [#permalink]

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06 Nov 2019, 06:39
R(t+40)=360 .... eq. 1
2Rt=480.... eq 2
Rt=240... eq 3

Substitute 3 in 1
R=3
Rate from grocery to gym is twice home to grocery
Hence; 2R= 6

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Manager
Joined: 10 Dec 2017
Posts: 151
Location: India
Re: Angelina walked 360 meters from her home to the grocery at a constant  [#permalink]

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06 Nov 2019, 07:01
Bunuel wrote:
Angelina walked 360 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?

A. 2
B. 3
C. 4
D. 6
E. 12

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$$D (Grocery-Gym)/ D (Home-Gym)=480/360=4/3$$
$$4/3=Speed (Grocery-Gym) * Time(Grocery-Gym)/Speed(Home-Gym)* Time(Home-Gym)$$
$$4/3=2*(t-40)/t$$
t=120
t-40=80
Speed (Grocery-Gym)=$$480/80$$
=6
D:)
Manager
Joined: 10 Sep 2019
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Concentration: Social Entrepreneurship, Healthcare
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Re: Angelina walked 360 meters from her home to the grocery at a constant  [#permalink]

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19 Nov 2019, 02:53
1
Let us assume the speed as V from home to grocery. => Speed 2V from Grocery to Gym.
Let us assume the time from Home to Grocery as T. => Time T-40 from Grocery to Gym.

=> V= 360/t & 2V = 480/(t-40)

Solving we get T=120.

=> 2V = 6.

Ans D
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Re: Angelina walked 360 meters from her home to the grocery at a constant  [#permalink]

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22 Nov 2019, 13:05
Bunuel wrote:
Angelina walked 360 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?

A. 2
B. 3
C. 4
D. 6
E. 12

Are You Up For the Challenge: 700 Level Questions

Letting r = Angelina’s normal speed, we can create the equation for the time:

360/r = 480/(2r) + 40

360/r = 240/r + 40

120/r = 40

120 = 40r

3 = r

Since her speed from the grocery to the gym was 2r, her speed was 6 m/sec..

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Re: Angelina walked 360 meters from her home to the grocery at a constant   [#permalink] 22 Nov 2019, 13:05
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