GMAT Quantitative Reasoning Practice Test 2

Question : 98 of 100

Marks: +1, -0

An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?

$48.75 \/ 168$
$52.5 \/ 120$
$17 \/ 42$
$55.5 \/ 168$
$15 \/ 38$

Validate

Solution:

In one week there are

24 × 7=168

hours.
The average teenager sleeps 8.5 hours on weekdays and

1.5 × 8.5=12.75

hours on the weekend.
Altogether, the total sleeping time per one week is

8.5 × 5+12.75 × 2=68

.
The fractional part of the sleep is

68 / 168=17 / 42

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