Sally travels by car from one city to another. She drives for 29.0 min at 63.0 km/h, 37.0 min at 32.0 km/h, and 14.0 min at 26.0 km/h, and she spends 14.0 min eating lunch and buying gas.
she's late.
avg speed is totaldistance/totaltime
distance = speed * time
To find out the total distance Sally traveled, we need to calculate the distance for each part of her journey separately and then add them together.
For the first part of her journey, Sally drives for 29.0 minutes at 63.0 km/h. To find the distance traveled, we can use the formula:
Distance = Speed × Time
Distance1 = 63.0 km/h × (29.0 min / 60 min/h)
Let's plug in the values and calculate:
Distance1 = 63.0 km/h × (29.0 min / 60 min/h)
Distance1 = 63.0 km/h × 0.4833 h
Distance1 ≈ 30.435 km
So, Sally travels approximately 30.435 km in the first part of her journey.
For the second part of her journey, Sally drives for 37.0 minutes at 32.0 km/h. Again, we'll use the same formula:
Distance2 = 32.0 km/h × (37.0 min / 60 min/h)
Calculating:
Distance2 = 32.0 km/h × (37.0 min / 60 min/h)
Distance2 = 32.0 km/h × 0.6167 h
Distance2 ≈ 19.733 km
Sally travels approximately 19.733 km in the second part of her journey.
For the third part of her journey, Sally drives for 14.0 minutes at 26.0 km/h:
Distance3 = 26.0 km/h × (14.0 min / 60 min/h)
Calculating:
Distance3 = 26.0 km/h × (14.0 min / 60 min/h)
Distance3 = 26.0 km/h × 0.2333 h
Distance3 ≈ 6.067 km
Sally travels approximately 6.067 km in the third part of her journey.
Finally, we need to add up the distances from all three parts to find the total distance:
Total Distance = Distance1 + Distance2 + Distance3
Total Distance ≈ 30.435 km + 19.733 km + 6.067 km
Total Distance ≈ 56.235 km
So, Sally travels approximately 56.235 km in total.
To account for the time Sally spends eating lunch and buying gas, we need to subtract it from the total time she spends driving.
Total Time Spent Driving = 29.0 min + 37.0 min + 14.0 min
Total Time Spent Driving = 80.0 min
Total Time Spent Including Lunch and Gas = Total Time Spent Driving + 14.0 min
Calculating:
Total Time Spent Including Lunch and Gas = 80.0 min + 14.0 min
Total Time Spent Including Lunch and Gas = 94.0 min
So, Sally spends a total of 94.0 minutes, including lunch and buying gas.