Carlos and maria drove a total of 258 miles in 5 hours. Carlos drove the first part of the trip and averaged 53 miles per hr maria drove the remainder of the trip and averaged 51 miles per hr for how many hrs did maria drive

x=3\2

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting

point. If her total rowing time is 48 min, for how long does she row downstream? Express your answer to the
nearest minute.

To find out how many hours Maria drove, we can subtract the hours Carlos drove from the total number of hours.

We know that the total number of hours they drove is 5 hours.

Carlos drove for a certain number of hours, so let's call that x.

Since the total number of hours is 5, Maria drove for 5 - x hours.

We can use the formula: Distance = Speed × Time to find out the distance Carlos and Maria individually traveled.

Carlos traveled at an average speed of 53 miles per hour for x hours, so the distance Carlos traveled is 53x miles.

Maria traveled at an average speed of 51 miles per hour for 5 - x hours, so the distance Maria traveled is 51(5 - x) miles.

Since the total distance they drove is 258 miles, we can write an equation:

53x + 51(5 - x) = 258

Now we can solve for x:

53x + 51(5 - x) = 258
53x + 255 - 51x = 258
2x + 255 = 258
2x = 258 - 255
2x = 3
x = 3/2
x = 1.5

Since x represents the number of hours Carlos drove, and we're only dealing with whole hours, Carlos drove for 1 hour. Therefore, Maria drove for 5 - 1 = 4 hours.

So, Maria drove for 4 hours.

Let X be the hours Maria drove. 5-X hours were then driven by Carlos.

53 X + 51(5-X) = 258 miles covered

53X - 51X = 2X = 258 - 255 = 3

X = 3/2 hour

Carlos did most of the driving.

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