Traveling Puzzle: Nola and Milla's Journey
When will Nola and Milla be 226 miles apart?
At what time will Nola and Milla be 226 miles apart based on their speeds and starting times?
Final answer:
Nola and Milla will be 226 miles apart at approximately 11:23 am, calculating based on their speeds and the time each started their journey.
The question involves finding the time when two vehicles traveling in opposite directions will be a certain distance apart. We are told Nola drove east at 35 mph at 8 am and Milla started driving west at 45 mph from the same point at 9 am. We want to determine when they will be 226 miles apart.
Since Milla started one hour after Nola, by 9 am, Nola would have already covered 35 miles.
So, Milla and Nola need to cover the remaining 191 miles (226 - 35) together at the combined speed of 80 mph (35 mph + 45 mph).
To calculate the time required to cover the remaining distance, we use the formula:
time = distance/speed.
Substituting the given values,
time = 191 miles / 80 mph
= 2.3875 hours.
Since Milla started at 9 am, adding 2.3875 hours to this time will give us the time when they will be 226 miles apart. Thus, they will be 226 miles apart at approximately 11:23 am (9 am + 2 hours and 23 minutes).