Concept explainers
a.
To calculate:The time spends on driving at each speed on highways and on the rest of the roads.
a.
Answer to Problem 14Q
1 hour is spent driving on the highways and 2 hours are spent driving on the rest of the roads.
Explanation of Solution
Given information:It takes 3 hours to drive to a concert 135 miles away. On the highways the speed is 55 miles per hour and on the rest of the road the speed is 40 miles per hour.
Calculation:Let time taken on the highways be x hours and that on rest of the roads be y hours.
Speed on the highways
Then, distance travelled on the highway
Speed on the rest of the roads
Then, distance travelled on the highway
According to the problem, total time taken is 3 hours and total distance travelled is 135 miles.
Then,
From equation (1),
Putting (3) in (2),
Putting
Thus, time taken highways is 1 hour and time taken on the rest of the road is 2 hours.
b.
To calculate:Distance driven on highways and on rest of the roads.
b.
Answer to Problem 14Q
55 miles are driven on the highways and 80 miles are driven on the rest of the roads.
Explanation of Solution
Given information:It takes 3 hours to drive to a concert 135 miles away. On the highways the speed is 55 miles per hour and on the rest of the road the speed is 40 miles per hour.
Calculation:Speed on the highways
Time taken on highways
Then, total distance travelled on highways
Speed on the rest of the roads
Time taken on rest of the roads
Then, total distance travelled on rest of the roads
Thus, 55 miles are driven on the highways and 80 miles are driven on the rest of the roads.
Chapter 5 Solutions
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