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Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 0.5 hour. At the airport, they exited the car and walked for 0.75 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 2.25 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a cab. It was a 15-minute cab ride to get to Kiley’s grandmother’s house, which was 12.3 miles away. Recall that Kiley waited for a period of time in the waiting area near the gate before boarding her plane. What percentage of her total travel time did this waiting represent?

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Final answer:

To find the percentage of Kiley's total travel time that was spent waiting in the waiting area, we need to calculate the total travel time and the time spent waiting.

Step-by-step explanation:

To find the percentage of Kiley's total travel time that was spent waiting in the waiting area, we need to calculate the total travel time and the time spent waiting. Kiley's total travel time includes the time it took to drive to the airport, walk to the waiting area, wait for the plane, fly to her destination, walk after landing, and take a cab to her grandmother's house. The waiting time can be calculated by adding the time it took to drive to the airport, walk to the waiting area, and the 45 minutes she had to wait for the plane to depart.

First, we add the travel times:

  • Driving: 0.5 hour
  • Walking to waiting area: 0.75 hour
  • Flight: 2.25 hours
  • Walking after landing: 0.5 hour
  • Taking a cab: 0.25 hour

Next, we calculate the waiting time:

  • Driving: 0.5 hour
  • Walking to waiting area: 0.75 hour
  • Waiting for plane: 45 minutes (converted to hours by dividing by 60)

To find the percentage, we divide the waiting time by the total travel time and multiply by 100:

Waiting time / Total travel time * 100

Plugging in the values, we get:

(1.75 hours / 4.25 hours) * 100 = 41.18%

Therefore, waiting in the waiting area represented approximately 41.18% of Kiley's total travel time.

Learn more about Calculating percentage of travel time spent waiting

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