A person in a kayak paddles down a river at an average speed of 10 km/h after 3.2 hour 25 hours she has traveled 32.5 km if she paddles upstream at an average speed of 4 km/h how long would it take her to get back to her starting point

Answer 1

To find out how long it would take her to get back to her starting point, we need to calculate the time it took for her to travel downstream.

Let's assume the time it took for her to travel downstream is T hours.

Given that the average speed downstream is 10 km/h, and the distance traveled downstream is 32.5 km, we can use the formula:

Distance = Speed * Time

32.5 km = 10 km/h * T hours

Using algebra, we can solve for T:

T hours = 32.5 km / 10 km/h

T hours = 3.25 hours

Now, we can calculate the time it would take for her to return to her starting point, paddling upstream at an average speed of 4 km/h.

Let's assume the time it would take for her to return is U hours.

Given that the average speed upstream is 4 km/h, and the distance back to the starting point is also 32.5 km, we can use the formula:

Distance = Speed * Time

32.5 km = 4 km/h * U hours

Again, using algebra, we can solve for U:

U hours = 32.5 km / 4 km/h

U hours = 8.125 hours

Therefore, it would take her approximately 8.125 hours (or about 8 hours and 8 minutes) to get back to her starting point while paddling upstream at an average speed of 4 km/h.