A truck driver traveled 924 miles from 8 am Tuesday to 5 pm Wednesday. During that time, he stopped 30 minutes for lunch and gas at 1 pm Tuesday, stopped for the night at 7 pm, and was back on the road at 5 am Wednesday morning. He stopped for 30 minutes for lunch and gas at 1 pm Wednesday. What was the average speed he drove during his trip? (Enter numeric value only.)
42
35
72
50
Correct Answer : A
Total time from 8 am Tuesday to 5 pm Wednesday:
From 8 am Tuesday to 5 pm Wednesday is 33 hours (24 hours from 8 am Tuesday to 8 am Wednesday plus 9 additional hours to 5 pm Wednesday).
Stop times:
- 30 minutes for lunch and gas on Tuesday at 1 pm.
- Stopped for the night from 7 pm Tuesday to 5 am Wednesday (10 hours).
- 30 minutes for lunch and gas on Wednesday at 1 pm.
Convert stop times into hours:
- 30 minutes = 0.5 hours (two instances of 30 minutes each make 1 hour total).
- Night stop = 10 hours.
Total stop time: 0.5+10+0.5=11 hours.
Total driving time: 33−11=22 hours.
Distance traveled: 924 miles.
Average speed calculation:
Average speed= =
Average speed=42
Thus, the average speed during his trip was 42 miles per hour.
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Explanation
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24𝑋
Therefore, the correct answer is: A 24X
Correct Answer is A
Explanation
Set up the proportion as fractions:
=
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This means for every 15 units on the left, there are 450 units. To maintain this proportion, the ratio on the right must behave similarly:
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Simplify to find X:
𝑋== 7.5
This correct calculation verifies that 𝑋=7.5, matching the proportion given.
Thus, the answer is A. X = 7.5.
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Explanation
Multiply the daily production rate by the number of days:
2.5carsperday×16.5days =41.25cars
To follow the instruction of rounding to the nearest tenth, round 41.25, which results in:
41.3cars
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Correct Answer is A
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The given proportion can be written in fraction format
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