
Concept explainers
(a)
The total distance travelled.
(a)

Answer to Problem 40E
The total distance travelled is 300 miles.
Explanation of Solution
Given information:
A driver averaged 30 mph on a ISO-mile Hip and then returned over the same 150 miles at the rate of 50 mph. He figured that his average speed wan 40 mph for the entire trip.
Formula used:
The speed will get added up.
Calculation:
Since driver return over the same path. Total distance travelled is given by
Conclusion:
The total distance travelled is 300 miles.
(b)
The total time spent for the trip.
(b)

Answer to Problem 40E
The total time spent is 8 hours.
Explanation of Solution
Given information:
A driver averaged 30 mph on a ISO-mile Hip and then returned over the same 150 miles at the rate of 50 mph. He figured that his average speed wan 40 mph for the entire trip.
Formula used:
The ratio of the distance to speed
Calculation:
Time is calculated by ratio of the distance to speed.
Conclusion:
The total time spent is 8 hours.
(c)
The average speed of the trip.
(c)

Answer to Problem 40E
The average speed is 37.5 miles per hour.
Explanation of Solution
Given information:
A driver averaged 30 mph on a ISO-mile Hip and then returned over the same 150 miles at the rate of 50 mph. He figured that his average speed wan 40 mph for the entire trip.
Formula used:
Average speed is given by total distance travelled divided by total time spent.
Calculation:
Average speed is given by total distance travelled divided by total time spent.
Conclusion:
The average speed is 37.5 miles per hour.
(d)
The error is the driver’s speed.
(d)

Answer to Problem 40E
The neither two expressions are equal nor the two values obtained.
Explanation of Solution
Given information:
A driver averaged 30 mph on a ISO-mile Hip and then returned over the same 150 miles at the rate of 50 mph. He mainly figured that his average speed wan 40 mph for the entire trip.
Formula used:
Calculation:
Driver calculated the average speed by averaging the average speeds for forward journey and backward journey.
d1 and d2. These are distance travelled or forward journey and backward journey and t1 and t2 are time taken in forward journey and backward journey. Then according to driver,
But, actual average speed is calculated by
You can observe, neither two expressions are equal nor the two values obtained.
Conclusion:
The neither two expressions are equal nor the two values obtained.
Chapter 6 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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