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14 Jul 2021, 05:15
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B
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67% (02:27) correct
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The wait time in hours, w, for a certain popular restaurant can be estimated by the formula \(w = \frac{n + ks}{10}\) where k is a constant, n is the number of parties waiting ahead of you, and s is the size of your party. If a family of 4 has a wait time of 30 minutes when 2 other parties are ahead of it, how long would a family of 6 expect to wait if there are 8 parties ahead of it?
(A) 45.5 minutes
(B) 1 hour 15 minutes
(C) 1 hour 25 minutes
(D) 1 hour 45 minutes
(E) 2 hours
(A) 45.5 minutes
(B) 1 hour 15 minutes
(C) 1 hour 25 minutes
(D) 1 hour 45 minutes
(E) 2 hours
Updated on: 14 Jul 2021, 19:44
Originally posted by rajatchopra1994 on 14 Jul 2021, 06:00.
Last edited by rajatchopra1994 on 14 Jul 2021, 19:44, edited 1 time in total.
Last edited by rajatchopra1994 on 14 Jul 2021, 19:44, edited 1 time in total.
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Explanation:
w = (n + ks)/10
1/2 x 10 = 2 + 4k
5 - 2 = 4k
k= 3/4 = 0.75
w = (8+0.75x6)/10
w = (8+4.5)/10
w = 12.5/10
w = 1.25 hr = 1 hr 15mins
IMO-B
Posted from my mobile device
w = (n + ks)/10
1/2 x 10 = 2 + 4k
5 - 2 = 4k
k= 3/4 = 0.75
w = (8+0.75x6)/10
w = (8+4.5)/10
w = 12.5/10
w = 1.25 hr = 1 hr 15mins
IMO-B
Posted from my mobile device
14 Jul 2021, 06:04
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If a family of 4 has a wait time of 30 minutes when 2 other parties are ahead of it:
w = \(\frac{30}{60} = \frac{1}{2}\) hours
n = 2
s = 4
=> \(w = \frac{n + ks }{ 10}\) => \(\frac{1}{2} = \frac{2 + 4k }{ 10}\)
=> 5 = 2+ 4k
=> k = \(\frac{3}{4}\)
How long would a family of 6 expect to wait if there are 8 parties ahead of it:
w = ? hours
n = 8
s = 6
k = 3/4
=> \(w = \frac{n + ks }{ 10}\)
=> \(w = \frac{8 + 4.5 }{ 10 }\)
=> w = \(\frac{12.5}{10} = 1.25 =\) 1 hour 15 minutes
Answer B
w = \(\frac{30}{60} = \frac{1}{2}\) hours
n = 2
s = 4
=> \(w = \frac{n + ks }{ 10}\) => \(\frac{1}{2} = \frac{2 + 4k }{ 10}\)
=> 5 = 2+ 4k
=> k = \(\frac{3}{4}\)
How long would a family of 6 expect to wait if there are 8 parties ahead of it:
w = ? hours
n = 8
s = 6
k = 3/4
=> \(w = \frac{n + ks }{ 10}\)
=> \(w = \frac{8 + 4.5 }{ 10 }\)
=> w = \(\frac{12.5}{10} = 1.25 =\) 1 hour 15 minutes
Answer B
