Bert is 11 kilometers away from Brenda. Both begin to walk toward each other at the same time.
Bert walks at 4 kilometers per hour. They will meet in 2 hours. How fast is Brenda walking?
2.5 kph
To find out how fast Brenda is walking, we can use the formula for speed:
Speed = Distance / Time
We know that Bert is 11 kilometers away from Brenda, and they will meet in 2 hours.
Bert's speed is given as 4 kilometers per hour. We can use this information to calculate the total distance traveled by both Bert and Brenda:
Total Distance = Bert's Speed * Time
Total Distance = 4 km/hour * 2 hours
Total Distance = 8 kilometers
Since Bert and Brenda are both walking towards each other, the total distance traveled by both of them is equal to the sum of their individual distances:
Total Distance = Bert's Distance + Brenda's Distance
8 kilometers = Bert's Distance + 11 kilometers
Subtracting 11 kilometers from both sides, we get:
-3 kilometers = Brenda's Distance
However, distance cannot be negative in this context, so this means that Brenda's distance is actually 3 kilometers (which is 11 kilometers minus 8 kilometers).
Now that we know Brenda's distance and the time it took her, we can calculate her speed:
Speed = Distance / Time
Speed = 3 kilometers / 2 hours
Speed = 1.5 kilometers per hour
Therefore, Brenda is walking at a speed of 1.5 kilometers per hour.