| Problem |
Solution |
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1) Four year old Tyrol sleeps 10 hours and 30 minutes each day. If he does that for a whole year that is 365 days long, how long is that to the nearest minute expressed in days,
hours, and minutes?
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- 10.5 x 365 = 3832.5 hours of sleep
- 3832.5/24 = 159.6875 days
- .6875 day = 16.5 hours
- .5 hour = 30 minutes.
- So he slept for 159 days, 16 hours and 30 minutes
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2) The dimensions of a gaming room are 10 feet by 17 feet by 11 feet. A spider and a fly are both in the room. What is the furthest distance they could be apart to the nearest tenth
of a foot?
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The longest distance they can be from each other is from an upper corner of the room to the lower opposite corner.
- Find the diagonal length of the 10x17 floor:
By the pythagorean theorem:
d =
√
(102+
172) = 19.72 feet
- Find the diagonal length from the ceiling to the opposite corner of the floor:
d =
√
(112+
19.722) = 22.6 feet
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3) Mario is driving in Canada at a steady rate of 100 km/hr. His twin sister, Daneka, is driving at a steady rate of 70 mph in Washington. Who is faster and by how much?
Express your answer in mph. Note 1 mile = 1.609 kilometers.
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100 km x 1 mile = 62.15 mph
hour 1.609 km
Daneka is faster by 70 - 62.15 = 7.85 mph.
Note: We had to use the inverse of the conversion factor to get the units to cancel properly
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