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# In town X, w watts of power can provide equal amounts of electricity f

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Retired Moderator
Joined: 27 Oct 2017
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WE: General Management (Education)
In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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14 Mar 2020, 18:29
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55% (hard)

Question Stats:

50% (01:32) correct 50% (01:55) wrong based on 32 sessions

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GMATBusters’ Quant Quiz Question -7

In town X, w watts of power can provide equal amounts of electricity for h houses. If g new houses were built in town X, which of the following would represent the difference between the new number of watts of power used in town X and the original number of watts of power used in town X if power is supplied equally to all of the homes?
A) wg/h
B) w^2g/h
C) w/h
D) w(h+g)/h
E) w(h-g)/h

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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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14 Mar 2020, 18:30
w watts of power can provide equal amounts of electricity for h houses
power consumption per house = w/h

After g new houses were built in town X, total number of houses = g+h

Power consumption required = number of houses*power consumption per house = w/h *(g+h)

Difference = w/h *(g+h)- w = wg/h

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Posts: 751
Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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14 Mar 2020, 19:38
Watts of power =w, no.of houses=h, so original no. of watts of power/home = w/h
g new homes are added, h+g, so new no. of watts of power/home = w/h+g

w/h+g - w/h
w*h- w (h+g)/ h (h+g)
wh-wh-wg/h (h+g)
-wg/h (h+g)
Not close to any option but i'd guess A as an answer.
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Posts: 412
Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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14 Mar 2020, 20:15
Lets substitute values for each

Let w = 1000
Let h = 100
let g = 25

Original number of power used = 1000 watts / 100 house = 10 watts/house needed

Number of new houses = 100 + 25 = 125 houses
New number of watts used to power town = 125 houses * 10 watts/house = 125*10 = 1250 watts

Difference = 1250 - 1000 = 250 Watts

Out of our options , A gives us the answer = 250

w*g/h = (1000*25)/100 = 250

Ans: A
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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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14 Mar 2020, 21:15
OA is supposedly C
If we take Watt power as 32 and H=4 per unit given to each house is 8
If we add 4 more house. So per unit supply will be 4 each (32/8)
So the difference between two = 32/4 = w/h

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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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15 Mar 2020, 01:55
Given: In town X, w watts of power can provide equal amounts of electricity for h houses.

Asked: If g new houses were built in town X, which of the following would represent the difference between the new number of watts of power used in town X and the original number of watts of power used in town X if power is supplied equally to all of the homes?

w Power can be provided equally to h houses.
If g new houses were built in town X
w(h+g)/h Power can be provided equally to (h+g) houses
Difference = w(h+g)/h - w = wg/h

A) wg/h
B) w^2g/h
C) w/h
D) w(h+g)/h
E) w(h-g)/h

IMO A
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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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15 Mar 2020, 02:32
w watts of power for h houses.
So, 1 house requires $$\frac{w}{h}$$ watts of power (equal power to all houses).

Now, g new houses built. So total houses are h+g.
Now if each house requires $$\frac{w}{h}$$ watts power, h+g houses will require (h+g)*$$\frac{w}{h}$$ watts power.

Difference in power
= $$\frac{w}{h}$$*(h+g) - w
= $$\frac{wg}{h}$$

Option: A
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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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15 Mar 2020, 04:08
Each house has consumption=w/h
Including g houses ,total number of houses =g+h
New number of watt= (g+h)X w/h
Number of original watts used=w
Difference=(g+h)Xw/h-w=wg/h
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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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15 Mar 2020, 06:29
In town X, w watts of power can provide equal amounts of electricity for h houses. If g new houses were built in town X, which of the following would represent the difference between the new number of watts of power used in town X and the original number of watts of power used in town X if power is supplied equally to all of the homes?

w/h= electricity per home

adding g new houses we need to provide g times the energy consumed by 1 home

wg/h

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Re: In town X, w watts of power can provide equal amounts of electricity f  [#permalink]

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15 Mar 2020, 07:11
1
Quote:
In town X, w watts of power can provide equal amounts of electricity for h houses. If g new houses were built in town X, which of the following would represent the difference between the new number of watts of power used in town X and the original number of watts of power used in town X if power is supplied equally to all of the homes?
A) wg/h
B) w^2g/h
C) w/h
D) w(h+g)/h
E) w(h-g)/h

I feel this was the trickiest of the lot.

Let's pick numbers .
w=1000
h=20

Each house uses = 1000/20 = 50

New houses g=30 (Assumption)

Each house still uses 50. New power in watts = 1000+1500=2500

Difference between 2500 and 1000 is 1500.

Keeping all this in mind,

A) wg/h = (1000*30)/20 = 500 Works
B) w^2g/h - Bigger value
C) w/h - 1000/20=50 - Nope
D) w(h+g)/h - NOpe
E) w(h-g)/h - Nope

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Re: In town X, w watts of power can provide equal amounts of electricity f   [#permalink] 15 Mar 2020, 07:11