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01 Mar 2022, 08:42
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:58) correct
11%
(02:37)
wrong
based on 279
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A contractor hired two paving firms to pave a parking lot. The first firm was to pave \(\frac{5}{8}\) of the parking lot, and the second firm was to pave the rest. On the first day, the first firm paved \(\frac{2}{3}\) of its portion and the second firm paved \(\frac{1}{2}\) of its portion. What fraction of the parking lot was not paved on the first day?
A. \(\frac{8}{48}\)
B. \(\frac{10}{48}\)
C. \(\frac{15}{48}\)
D. \(\frac{16}{48}\)
E. \(\frac{19}{48}\)
Source: Skills Insight
A. \(\frac{8}{48}\)
B. \(\frac{10}{48}\)
C. \(\frac{15}{48}\)
D. \(\frac{16}{48}\)
E. \(\frac{19}{48}\)
Source: Skills Insight
01 Mar 2022, 09:33
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taha1234
A contractor hired two paving firms to pave a parking lot. The first firm was to pave \(\frac{5}{8}\) of the parking lot, and the second firm was to pave the rest. On the first day, the first firm paved \(\frac{2}{3}\) of its portion and the second firm paved \(\frac{1}{2}\) of its portion. What fraction of the parking lot was not paved on the first day?
A. \(\frac{8}{48}\)
B. \(\frac{10}{48}\)
C. \(\frac{15}{48}\)
D. \(\frac{16}{48}\)
E. \(\frac{19}{48}\)
A. \(\frac{8}{48}\)
B. \(\frac{10}{48}\)
C. \(\frac{15}{48}\)
D. \(\frac{16}{48}\)
E. \(\frac{19}{48}\)
Say the parking lot is 48 unit^2 (we have 5/8, 2/3 and 1/2 there, so 48 = 8*3*2 might be a good number to work with, also all fractions in the options have 48 in the denominators).
The first firm was to pave \(\frac{5}{8}\) of the parking lot. So, it must pave 5/8*48 = 30 unit^2 and the second team must pave the remaining 18 unit^2.
On the first day, the first firm paved \(\frac{2}{3}\) of its portion, so it paved 2/3*30 = 20 unit^2 and the second firm paved \(\frac{1}{2}\) of its portion, so it paved 1/2*18 = 9 unit^2.
Totally they paved 20 + 9 = 29 unit^2 and 48 - 29 = 19 unit^2 is left to pave, which is 19/48 of the parking lot.
Answer: E.
Hope it helps.
General Discussion
13 Mar 2023, 21:14
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taha1234
A contractor hired two paving firms to pave a parking lot. The first firm was to pave \(\frac{5}{8}\) of the parking lot, and the second firm was to pave the rest. On the first day, the first firm paved \(\frac{2}{3}\) of its portion and the second firm paved \(\frac{1}{2}\) of its portion. What fraction of the parking lot was not paved on the first day?
A. \(\frac{8}{48}\)
B. \(\frac{10}{48}\)
C. \(\frac{15}{48}\)
D. \(\frac{16}{48}\)
E. \(\frac{19}{48}\)
Source: Skills Insight
A. \(\frac{8}{48}\)
B. \(\frac{10}{48}\)
C. \(\frac{15}{48}\)
D. \(\frac{16}{48}\)
E. \(\frac{19}{48}\)
Source: Skills Insight
Work allocated to the first firm = 5/8 of the lot
Work allocated to the second firm = 3/8 of the lot
Day 1:
First firm did 2/3 of its work = (2/3)*(5/8) of lot = 5/12 = 20/48 of the lot
Second firm did 1/2 of its work = (1/2)*(3/8) of lot = 3/16 = 9/48 of the lot
So overall 29/48 of the lot was done on first day and 19/48 was remaining not done.
Answer (E)
