Final answer:
Mark will take 240 minutes or an additional 4 hours to reach his destination in Phoenix, assuming he maintains the same driving rate as the first 10 miles he drove in 12 minutes.
Step-by-step explanation:
Calculating Travel Time
The question given asks how long it would take Mark to reach his destination, which is 210 miles away, after he has already driven the first 10 miles in 12 minutes. To find this, we first determine Mark's driving rate, which we find by dividing the distance driven by the time it took. He drove 10 miles in 12 minutes, or 10/12 miles per minute. Mark still has 200 miles to go since he’s already covered 10 miles. We can use the rate to calculate the time for the remaining 200 miles:
Time = Distance ÷ Rate
= (200 miles) ÷ (10 miles / 12 minutes)
= 200 ÷ (10/12)
= 200 ÷ (5/6)
= 240 minutes
Therefore, it would take Mark 240 minutes to reach his destination if he maintains the same driving rate. This can also be converted into hours by dividing by 60:
Total travel time in hours = 240 minutes ÷ 60 minutes/hour
= 4 hours
So, it would take Mark an additional 4 hours to reach Phoenix, after the initial 12 minutes.