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Chapter 1: Problem 40

Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled. a. 120 miles b. 160 miles c. 195 miles d. 210 miles

Short Answer

Expert verified
The best estimate for the distance traveled is 160 miles, since it is the only option that falls within the range of possible distances (120 to 200 miles) calculated based on the given conditions.

Step by step solution

01

Calculate Minimum Possible Distance Traveled

The first step involves finding out the minimum distance one could have travelled. To do this, multiply the lower end of the speed (40 mph) by the lower end of the time (3 hours). The calculation is as follows: \(40 \times 3 = 120\) miles.
02

Calculate Maximum Possible Distance Traveled

The second step is to find out the maximum distance one could have travelled. Multiply the top end of the speed by the top end of time. Do the calculations as follows: \(50 \times 4 = 200\) miles.
03

Compare the Possible Distance with the Provided Options

From the previous two steps, it can be deduced that the estimated distance should lie within the range of 120 to 200 miles. Among the options provided, the one that falls within this range is the best estimate for the distance travelled.

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