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
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.
To find out at what time Tandi arrives at her destination, we need to calculate the time taken for each part of the journey and then add them together.
First, let's calculate the time taken for the first part of the journey, where Tandi travels 42 km at 99 km/h. To find time, we use the formula:
time = distance / speed
So, the time taken for the first part of the journey is:
time = 42 km / 99 km/h
Calculating this gives:
time = 0.424 hours
Now, let's calculate the time taken for the second part of the journey, where Tandi travels 210 km at 103 km/h. Again, we use the formula:
time = distance / speed
So, the time taken for the second part of the journey is:
time = 210 km / 103 km/h
Calculating this gives:
time = 2.038 hours
Now, we can add the time taken for the first and second parts of the journey to get the total time:
total time = 0.424 hours + 2.038 hours
Calculating this gives:
total time = 2.462 hours
Therefore, Tandi arrives at her destination 2.462 hours after leaving home.
To determine the arrival time, you need to add 2.462 hours to the departure time of 8:13.
Adding 2.462 hours to 8:13, we get:
8:13 + 2.462 = 10:35
Therefore, Tandi arrives at her destination at 10:35.
To find out the time Tandi arrives at her destination, we need to calculate the total time it takes her to travel.
Let's calculate the time it takes for Tandi to travel the first 42 km:
Time = Distance / Speed
Time = 42 km / 99 km/h (converting to hours)
Time = 0.424242 hours
Next, let's calculate the time it takes for Tandi to travel the remaining 210 km:
Time = Distance / Speed
Time = 210 km / 103 km/h (converting to hours)
Time = 2.038835 hours
Now, we can calculate the total time it takes for Tandi to travel:
Total Time = Time for first part of the journey + Time for second part of the journey
Total Time = 0.424242 hours + 2.038835 hours
Total Time = 2.463077 hours
Finally, we can find out the arrival time by adding the total time to Tandi's departure time:
Arrival Time = Departure Time + Total Time
Arrival Time = 8:13 + 2.463077 hours
To simplify the calculation, we can convert the departure time to minutes:
8 hours * 60 minutes/hour = 480 minutes
13 minutes
Arrival Time = 480 minutes + 13 minutes + 2.463077 hours * 60 minutes/hour
Arrival Time = 493 minutes + 147.78462 minutes
Arrival Time = 640.78462 minutes
640.78462 minutes is approximately 10 hours and 40 minutes.
Therefore, Tandi will arrive at her destination at approximately 6:53 PM.