A woman wantes to drive 83 km in 2 h. If she average 42 km/h for the first 1.27 h, what average velocity must she maintain for the remaining time in km/h?
To find the average velocity the woman must maintain for the remaining time, we need to first calculate the distance she has already covered in the first 1.27 hours.
Since she has traveled at an average speed of 42 km/h for 1.27 hours, we can multiply the speed by the time to find the distance traveled so far:
Distance = Speed × Time = 42 km/h × 1.27 h = 53.34 km
Now, we need to determine the remaining distance she must cover. Subtracting the distance traveled so far from the total distance gives us:
Remaining distance = Total distance - Distance traveled so far = 83 km - 53.34 km = 29.66 km
Finally, we divide the remaining distance by the remaining time to find the average velocity she must maintain:
Average velocity = Remaining distance / Remaining time = 29.66 km / (2 h - 1.27 h) = 29.66 km / 0.73 h ≈ 40.71 km/h
Therefore, the woman must maintain an average velocity of approximately 40.71 km/h for the remaining time in order to complete the 83 km journey in 2 hours.