Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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A charter bus driver drove at an average speed of 65 mph for 305 miles. After stopping at a gas station for 15 minutes, he drove another 162 miles at an average speed of 80 mph. How long has it been since he began the trip?

0.96 hours
6.44 hours
6.69 hours
6.97 hours

The correct answer is: 6.97 hours

To determine the total time the charter bus driver has been on his trip, we first need to calculate the time taken for each segment of the journey, then add them together. For the first segment of the trip, the driver traveled 305 miles at an average speed of 65 mph. The time taken for this segment can be calculated using the formula: Time = Distance ÷ Speed So the time for the first segment is: 305 miles ÷ 65 mph = 4.6923 hours (approximately 4.69 hours) Next, for the second segment of the trip, the driver drove 162 miles at an average speed of 80 mph. The time for this segment is calculated similarly: 162 miles ÷ 80 mph = 2.025 hours Now, it's essential to ensure we include the time spent at the gas station. The driver stopped for 15 minutes, which can be converted to hours: 15 minutes ÷ 60 minutes/hour = 0.25 hours Next, we sum up all of these times: Total time = Time for the first segment + Time for the second segment + Time spent at gas station Total time = 4.69 hours + 2.025 hours +