For two full weeks, Karen studied every day for her big test. On weekd

Question

For two full weeks, Karen studied every day for her big test. On weekdays, she studied an average of x hours per day, and on the weekend, she studied an average of y hours per day. Her average for the whole two weeks was 50% greater than her average during the weekdays. What is the value of \(\frac{x}{y}\)?

(A) \(\frac{2}{11}\)

(B) \(\frac{4}{21}\)

(C) \(\frac{4}{11}\)

(D) 4

(E) 8

Show Answer

Official Answer

C

(A)  \frac{2}{11}

(B)  \frac{4}{21}

(C)  \frac{4}{11}

(D) 4

(E) 8

MBAHOUSE · Answer

GMAT statistics is very trick but the fundaments are very clear.

av1901 · Answer

Since we need to find ratio we can assume value for x, find y and then find the ratio

Let x = 2, weekdays in 2 weeks = 10 which means sum = 20

Overall average for 2 weeks is 50 percent greater than weekday average = 3
Sum for whole 2 weeks = 3x14 = 42

Difference = 42 - 20 = 22

Days = 4
Avg (y) = 5.5

x/y = 2/5.5 = 4/11

Answer - C

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For two full weeks, Karen studied every day for her big test. On weekd

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