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The minute hand of a tower clock is 3 feet long and the hour hand is
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27 Aug 2021, 10:08
27 Aug 2021, 10:08
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The minute hand of a tower clock is 3 feet long and the hour hand is 2 feet long. The two hands are in the three o’clock position, as shown.
Quantity A |
Quantity B |
The distance between the tips of the two hands of the clock |
4 feet |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The minute hand of a tower clock is 3 feet long and the hour hand is
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27 Aug 2021, 11:38
27 Aug 2021, 11:38
1
Expert Reply
The first thing to observe is that we are asked for the distance between the tips of the two hands.
Secondly, at 3'o'clock as shown in the figure, both arms are at 90-degrees to each other.
The distance can thus be calculated using the Pythagoras theorem:
\(h^2 = l^2 + b^2 = 3^2 + 2^ 2 = 13 \implies h = \sqrt{13} < 4\)
The answer is Option B
Secondly, at 3'o'clock as shown in the figure, both arms are at 90-degrees to each other.
The distance can thus be calculated using the Pythagoras theorem:
\(h^2 = l^2 + b^2 = 3^2 + 2^ 2 = 13 \implies h = \sqrt{13} < 4\)
The answer is Option B
gmatclubot
Re: The minute hand of a tower clock is 3 feet long and the hour hand is [#permalink]
27 Aug 2021, 11:38
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