Norris Tyler
09/24/2023 · Senior High School
26. Marcia leaves her home at 10 A.M. and drives to her sister's house. If she drives at an average speed of 53 mph and the distance between their homes is 238.5 miles, at what time will she arrive? (A) 1 P.M. (B) 1:30 P.M. (C) 2 P.M. (D) 2:30 P.M.
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Tutor-Verified Answer
Step-by-step Solution
To find out when Marcia will arrive at her sister's house, we first need to calculate the time it takes for her to drive the distance of 238.5 miles at an average speed of 53 mph.
We can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substituting the values:
\[
\text{Time} = \frac{238.5 \text{ miles}}{53 \text{ mph}} \approx 4.49 \text{ hours}
\]
Now, we convert 0.49 hours into minutes:
\[
0.49 \text{ hours} \times 60 \text{ minutes/hour} \approx 29.4 \text{ minutes}
\]
So, the total time taken is approximately 4 hours and 29 minutes.
Marcia leaves at 10 A.M., so we add 4 hours and 29 minutes to that time:
- 10 A.M. + 4 hours = 2 P.M.
- 2 P.M. + 29 minutes = 2:29 P.M.
Since 2:29 P.M. is not one of the options provided, we can round it to the nearest half hour, which would be 2:30 P.M.
Thus, the answer is:
(D) 2:30 P.M.
Quick Answer
Marcia will arrive at 2:30 P.M.
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