john's columm covered the first 12 miles in 4 hours. he then increased the speed by 2 miles per hour. if the total distance of the trip was 52 miles, how long did it take to finish the trip
speed of first part = 12miles/4hrs = 3 mph
speed of 2nd part = 5 mph
distance left to cover = 40 miles
time = 40 miles/(5 mph) = 8 hrs.
To find out how long it took John to finish the trip, we need to calculate the time taken for the remaining distance after the first 12 miles.
Let's break down the problem. John covered the first 12 miles in 4 hours. This means his initial speed was 12 miles divided by 4 hours, which is 3 miles per hour.
The total distance of the trip is given as 52 miles, and we know that John covered the first 12 miles in 4 hours. So, this leaves us with a remaining distance of 52 - 12 = 40 miles.
We are also given that John increased his speed by 2 miles per hour after the first 12 miles. So, his new speed is 3 miles per hour + 2 miles per hour = 5 miles per hour.
Now, we can calculate the time it took John to cover the remaining 40 miles. We can use the formula:
time = distance / speed
Plugging in the values, we get:
time = 40 miles / 5 miles per hour = 8 hours
Therefore, it took John 8 hours to finish the trip after covering the first 12 miles.