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# Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr

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Senior Manager
Joined: 02 Jan 2017
Posts: 307
Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr  [#permalink]

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02 Mar 2017, 19:01
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00:00

Difficulty:

35% (medium)

Question Stats:

84% (02:51) correct 16% (02:59) wrong based on 71 sessions

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Larry’s Lawn Service charges \$w/hour for the first x hours of grass trimming, then w + 2 dollars for every hour of work over x hours. How much more will a homeowner be charged for a grass trimming job that took z hours if z > x than for a job which took only w hours if x < w < z?

A. x(z + w)

B. (w + 2) – zx

C. (w + 2) (z – w)

D. (xw + 2) – (z – w)

E. w(x + z) + x
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Joined: 16 Oct 2010
Posts: 8792
Location: Pune, India
Re: Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr  [#permalink]

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02 Mar 2017, 22:12
vikasp99 wrote:
Larry’s Lawn Service charges \$w/hour for the first x hours of grass trimming, then w + 2 dollars for every hour of work over x hours. How much more will a homeowner be charged for a grass trimming job that took z hours if z > x than for a job which took only w hours if x < w < z?

A. x(z + w)

B. (w + 2) – zx

C. (w + 2) (z – w)

D. (xw + 2) – (z – w)

E. w(x + z) + x

Assume some values. Since x < w < z, assume x = 1, w = 2 and z = 3.

So the charge is \$2 per hour for the first 1 hr. Thereafter, it is \$4 per hour.
Charge for z (= 3) hrs = 2 + 4 + 4 = \$10
Charge for w (= 2 ) hrs = 2 + 4 = \$6

A homeowner will be charged \$10 - \$6 = \$4 extra.
The option that gives us \$4 will be the answer.

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Senior Manager
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr  [#permalink]

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02 Mar 2017, 22:46
vikasp99 wrote:
Larry’s Lawn Service charges \$w/hour for the first x hours of grass trimming, then w + 2 dollars for every hour of work over x hours. How much more will a homeowner be charged for a grass trimming job that took z hours if z > x than for a job which took only w hours if x < w < z?

A. x(z + w)

B. (w + 2) – zx

C. (w + 2) (z – w)

D. (xw + 2) – (z – w)

E. w(x + z) + x

charge for grass trimming that took w hours = x + w(w+2) ( since x<w )
charge for grass trimming that took z hours = x + z(w+2) ( since x<z )

homeowner will be charged for a grass trimming job that took z hours if z > x than for a job which took only w hours if x < w < z
= x + z(w+2) - x - w(w+2)
= z(w+2) - w(w+2)
= (w+2) (z-w)

Hence option C is correct
Hit Kudos if you liked it
Manager
Joined: 16 Jan 2017
Posts: 63
GMAT 1: 620 Q46 V29
Re: Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr  [#permalink]

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24 Mar 2017, 06:50
0akshay0 wrote:
vikasp99 wrote:
Larry’s Lawn Service charges \$w/hour for the first x hours of grass trimming, then w + 2 dollars for every hour of work over x hours. How much more will a homeowner be charged for a grass trimming job that took z hours if z > x than for a job which took only w hours if x < w < z?

A. x(z + w)

B. (w + 2) – zx

C. (w + 2) (z – w)

D. (xw + 2) – (z – w)

E. w(x + z) + x

charge for grass trimming that took w hours = x + w(w+2) ( since x<w )
charge for grass trimming that took z hours = x + z(w+2) ( since x<z )

homeowner will be charged for a grass trimming job that took z hours if z > x than for a job which took only w hours if x < w < z
= x + z(w+2) - x - w(w+2)
= z(w+2) - w(w+2)
= (w+2) (z-w)

Hence option C is correct
Hit Kudos if you liked it

charge for grass trimming that took w hours = x + w(w+2) ( since x<w )
charge for grass trimming that took z hours = x + z(w+2) ( since x<z )

I am confused as to why you use x + w(w+2) instead of xw + w(w+2) ; since you are working x hours at w rate
Re: Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr &nbs [#permalink] 24 Mar 2017, 06:50
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# Larry’s Lawn Service charges \$w/hour for the first x hours of grass tr

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