The sum of 3 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?

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The sum of 3 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?

by BTGmoderatorDC » Sat Mar 05, 2022 6:49 pm

00:00

A

B

C

D

E

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The sum of 3 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?

(A) 14%
(B) 16%
(C) 24%
(D) 28%
(E) 72%

OA D

Source: GMAT Prep

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Re: The sum of 3 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?

by swerve » Sun Mar 06, 2022 5:45 am
BTGmoderatorDC wrote:
Sat Mar 05, 2022 6:49 pm
The sum of 3 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?

(A) 14%
(B) 16%
(C) 24%
(D) 28%
(E) 72%

OA D

Source: GMAT Prep
Try as follows

$$3h45+2h55= 5h(45+55)=5h(1h40)=6h40$$

Then,
$$100\% \cdot \dfrac{6h40}{24h}$$ is between $$~ \dfrac{6\cdot4}{100}\; ~24\%$$ and $$~\dfrac{7\cdot4}{100}~28\%$$

Since $$6h40$$ is closer to $$7$$, the correct answer is D

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