A certain electric-company plan offers customers reduced rates for ele

Question

A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates apply to what fraction of a week?

(A) 1/2
(B) 5/8
(C) 9/14
(D) 16/21
(E) 9/10

(A) 1/2 
(B) 5/8 
(C) 9/14 
(D) 16/21 
(E) 9/10

Kurtosis · Answer

Number of hours between 8 PM to 8 AM = 12
Number of hours with reduced rates = (12*5)+(24*2)
Hours with reduced rates/Total number of hours in a week = (12*5)+(24*2)/(24*7) = 108/(24*7) = 9/14

Answer: C

Abhishek009 · Answer

Reduced rate per day is for 12 hours
Reduced rate for weekdays is for 60 hours (12 hours * 5 days)

Reduced rate for weekends is for 48 hours (24 hours * 2 days)

Reduced rates apply to the fraction of the week is = Total hours at reduced rate / Total hours in the week

Reduced rates apply to the fraction of the week is = (60+48) / (24*7)

Reduced rates apply to the fraction of the week is = 108 / (24*7) => = 9/14

TheNightKing · Answer

Let's just say week is made of 14 units of 12 hours instead of 7 units of 24 hours.
Keeping this in mind, you are given discounted rate for 5(weekday)+4(weekend) that is 9 units out of 14 units of the week
So answer is 9/14

EgmatQuantExpert · Answer

Given

• A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays.
•

To Find

• The faction of that week to which the reduced rates apply.

Approach and Working Out

• Total hours in a week = 24 × 7.

• Reduced rate applied for = 12 × 5 + 24 × 2 = 108.

• Answer =  \frac{108}{168} 
 o =  \frac{9}{14}

Correct Answer: Option C

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A certain electric-company plan offers customers reduced rates for ele

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