GRE Math Challenge Question #19
Company A can pave 500 feet of sidewalk in 6 hours, and Company B can pave 1,000 feet of sidewalk in 8 hours. At these rates, how many more yards of sidewalk can Company B pave in 9 hours than Company A can pave in 9
hours? (3 feet = 1 yard)
(A) 125
(B) 166
(C) 333
(D) 375
(E) 500
Solution:
Correct Choice: (A)
Company A can pave 500 feet of sidewalk in 6 hours, and thus (500/6) feet per hour. In 9 hours, Company A can pave ( 500/6 * 9 ) 750 feet of sidewalk.
Company B can pave 1,000 feet of sidewalk in 8 hours, and thus 1000/8 = 125 feet per hour. In 9 hours, Company B can pave 125 × 9 = 1,125 feet of sidewalk.
Thus, in 9 hours, Company B can pave 1,125 - 750 = 375 feet of sidewalk more than Company A. Since 3 feet = 1 yard, divide by 3 to get the answer in the correct units: 375 feet divided by 3 feet per yard = 125 yards.
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