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 upstream? you can express
your answer to the nearest minute.

I don't understand how you solve it.

let Toni's time rowing upstream be t hours, then his time rowing downstream is

.8-t hours (48 min = .8 hours)

distance upstream = 4.5t
distance downstream = 5.5(.8-t)

but the distance is the same either way, so...
4.5t = 5.5(.8-t)

solve for t

your t will be in hours, so multiply the value of t by 60 and round off.

( I got 26 minutes)

thanks!!!!!!!

To solve this problem, you can use the concept of relative speed.

Let's assume that Toni rows upstream for time 't' and downstream for time 'v'. Since the distance is the same, we can say:

Distance Upstream = Distance Downstream.

We can also use the formula: Speed = Distance / Time.

Given that Toni rows at a speed of 4.5 km/h upstream and 5.5 km/h downstream, and the total rowing time is 48 minutes (or 0.8 hours), we can write the following equations:

4.5 * t = 5.5 * v (equation 1) -- as the distance is the same.
t + v = 0.8 (equation 2) -- as the total time is given.

Now we can solve these equations to find the time Toni rows upstream.

From equation 2, we have v = 0.8 - t.

Substituting this in equation 1, we get:

4.5 * t = 5.5 * (0.8 - t).

Now we can solve for 't':

4.5t = 5.5 * 0.8 - 5.5t.
4.5t + 5.5t = 4.4.
10t = 4.4.
t = 0.44 hours.

Since we are asked for the time in minutes, we can convert 0.44 hours to minutes:

0.44 * 60 = 26.4 minutes.

Rounding to the nearest minute, Toni rows upstream for approximately 26 minutes.

To solve this problem, we can use the formula for average speed:

Average Speed = Total Distance / Total Time

Let's break down the problem and find the information we need:

Let's assume that Toni rows upstream for 'x' hours and downstream for 'y' hours.

Given information:
- Speed upstream = 4.5 km/h
- Speed downstream = 5.5 km/h
- Total rowing time = 48 minutes

Now, we know that distance = speed * time. So, we can find the distance Toni rows upstream and downstream based on the given speeds and the time she rows.

Upstream distance = 4.5 km/h * x hours
Downstream distance = 5.5 km/h * y hours

According to the problem, Toni's total rowing time is 48 minutes, which can be converted to hours by dividing it by 60:

Total rowing time = 48 minutes / 60 = 0.8 hours

We know that the total rowing time consists of the time spent rowing upstream and downstream:

Total rowing time = Time upstream + Time downstream

Converting the time to hours:

0.8 hours = x hours + y hours

Now, using the average speed formula, we can write the equation for the distances traveled:

Average speed upstream = Total distance upstream / Total time upstream
Average speed upstream = (4.5 km/h * x hours) / x hours
Average speed upstream = 4.5 km/h

Average speed downstream = Total distance downstream / Total time downstream
Average speed downstream = (5.5 km/h * y hours) / y hours
Average speed downstream = 5.5 km/h

Since the average speed is distance divided by time, and the distances are equal upstream and downstream, the average speeds must also be equal:

4.5 km/h = 5.5 km/h

However, this is not possible because 4.5 is not equal to 5.5. Therefore, there is no solution to this problem, and Toni cannot row upstream at 4.5 km/h and downstream at 5.5 km/h while maintaining a total rowing time of 48 minutes.