Q-32

32. A person does a job and will gain $336. Actually, he takes 4 more hours than schedule time, therefore, his hour wage is $2 less than actually decided. What Â¡s the schedule work time?

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dmateer25: Community Manager; Posts: 1049; Joined: Sun Apr 06, 2008 5:15 pm; Location: Pittsburgh, PA; Thanked: 113 times; Followed by:27 members; GMAT Score:710

by dmateer25 » Sat Oct 10, 2009 6:24 am

Let x = original hours worked

336/x = (336/(x+4)) + 2
336/x = (344 + 2x)/(x+4)

336x + 1344 = 344x + 2x^2
0 = 2x^2 + 8x - 1344
0 = 2(x^2 + 8x - 672)
0 = (x + 28)(x - 24)
x= -28 x=24

so x = 24

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