Tandi leaves home at 8:13 and travels 42km at 99 km/h and then another 210 km at 103 km/h. At what time does she arrive at her destination

1 answer

To determine the arrival time, we first need to calculate the total travel time.

The first leg of the journey is 42 km, and Tandi is traveling at 99 km/h. To find the travel time for this portion, we divide the distance by the speed:

Travel time = Distance / Speed = 42 km / 99 km/h

Travel time = 0.4242... hours

Now, let's convert this time from decimal hours to minutes and seconds:

0.4242... hours * 60 minutes/hour = 25.4545... minutes

So, the first leg of the journey takes approximately 25 minutes and 27 seconds.

Now, let's calculate the travel time for the second leg of the journey. Tandi is traveling 210 km at 103 km/h:

Travel time = Distance / Speed = 210 km / 103 km/h

Travel time ≈ 2.0388... hours

Converting this time to minutes and seconds:

2.0388... hours * 60 minutes/hour = 122.33... minutes

Therefore, the second leg of the journey takes approximately 122 minutes and 20 seconds.

Now, let's calculate the total travel time by adding the travel times for both legs:

Total travel time = Travel time leg 1 + Travel time leg 2
Total travel time = 25.4545... minutes + 122.33... minutes

Total travel time ≈ 147.78... minutes

Finally, we need to convert the total travel time back to hours and minutes:

147.78... minutes / 60 minutes/hour ≈ 2.46... hours ≈ 2 hours and 28 minutes

Tandi leaves home at 8:13 am and her total travel time is approximately 2 hours and 28 minutes.

To calculate the arrival time, we add the total travel time to the departure time:

8:13 am + 2 hours and 28 minutes ≈ 10:41 am

Therefore, Tandi arrives at her destination at approximately 10:41 am.