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Answer :
To calculate the time it would take for Mr. A to travel 412 miles at a speed of 80 km/hr, we need to convert the distance to kilometers and then use the formula:
Time = Distance / Speed
Converting 412 miles to kilometers, we use the conversion factor 1 mile = 1.60934 kilometers. Therefore:
Distance in kilometers = 412 miles * 1.60934 kilometers/mile
Distance in kilometers = 663.95768 kilometers
Now we can calculate the time:
Time = Distance in kilometers / Speed
Time = 663.95768 kilometers / 80 km/hr
Time = 8.29947 hours
To convert hours to seconds, we use the conversion factor 1 hour = 3600 seconds:
Time = 8.29947 hours * 3600 seconds/hour
Time = 29878.092 seconds
Rounding to the nearest whole number, the answer is approximately 29878 seconds.
None of the options provided (A) 9000 seconds, (B) 10000 seconds, (C) 14000 seconds, (D) 16000 seconds match this answer.
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Final answer:
To find how long it would take to travel 412 miles at 80 km/hr, convert miles to kilometers and km/hr to m/s, then use the time = distance/speed formula. The distance converts to 662.84 kilometers and the speed to 22.22 m/s, which results in a total time of approximately 29820 seconds. The options provided do not offer the correct answer.
Explanation:
The question requires a unit conversion from miles to kilometers and from kilometers per hour to seconds. Since 1 mile is equal to approximately 1.60934 kilometers, Mr. A's 412-mile distance converts to approximately 662.84 kilometers (412 miles × 1.60934 km/mile).
Next, to convert the speed of 80 kilometers per hour to meters per second we use the following conversion factors: 1 kilometer equals 1000 meters, and 1 hour equals 3600 seconds. Therefore, 80 km/h converts to 22.22 meters per second (80 km/h × 1000 m/km × 1 h/3600 s).
Now, using the formula time = distance/speed, to calculate the time taken to travel 662.84 kilometers at 22.22 meters per second, we have:
Time = 662.84 km × 1000 m/km / 22.22 m/s
Time = 662,840 m / 22.22 m/s
Time = 29820 seconds
The answer options provided do not contain the correct time, hence we conclude the time required would exceed even option D, 16000 seconds.