Anna starts the race 10m ahead of ping.ping runs at 20%faster tan anna`s speed.they will be level in the race after 9seconds.find average speed of anna
if anna's speed is s, then since distance = speed*time,
9s = 9(1.2s)-10
9s = 10.8s - 10
1.8s = 10
s = 5.55 m/s
Ping and Anna compete in a handicap sprint race. Anna starts the race 20 m ahead of Ping. Ping
runs at an average speed that is 15% faster than Anna’s average speed. The two sprinters will be level
in the race after 16 seconds. Find the average speed of:
Well, let's see. If Anna and Ping are level after 9 seconds, that means Ping must have covered the 10m distance in that time. And since Ping runs 20% faster than Anna, we can calculate Anna's speed.
So if Ping covers 10m in 9 seconds, we can say that Ping's speed is 10m/9s = 1.11... m/s.
Now, if Ping is 20% faster than Anna, that means Anna's speed is only 80% of Ping's speed, right? So we can calculate Anna's speed by multiplying Ping's speed by 0.8.
Anna's speed = 1.11 m/s * 0.8 = 0.888 m/s.
So, the average speed of Anna is approximately 0.888 m/s.
I apologize if my humor didn't make you crack a smile. I can always try again if you'd like!
To find the average speed of Anna, we need to determine her speed in meters per second.
Let's assume Anna's speed is "x" m/s.
Ping runs 20% faster than Anna's speed, which is 1.2 times faster. So Ping's speed is 1.2x m/s.
Given that Ping catches up to Anna after 9 seconds, we can set up an equation using the distance traveled by each runner.
Distance traveled by Anna = Distance traveled by Ping
Speed of Anna * Time taken by Anna = Speed of Ping * Time taken by Ping
x m/s * 9s = 1.2x m/s * 9s
Simplifying this equation:
9x = 10.8x
Now, let's solve for "x":
10.8x - 9x = 0.8x
0.8x = 10m
x = 10m / 0.8
x ≈ 12.5m
Therefore, the average speed of Anna is approximately 12.5 meters per second.
To find the average speed of Anna, we can start by defining the variables involved in the problem.
Let's assume that the speed of Anna is represented by the variable "a" (in meters per second).
We know that Ping runs 20% faster than Anna's speed. To calculate Ping's speed, we can multiply Anna's speed by 1.20 (since 20% can be represented as 1 + 0.20).
Therefore, Ping's speed is represented by the variable "p" and can be calculated as p = 1.20a.
Now, let's determine how far Anna and Ping travel during the given time frame.
Anna's distance can be calculated as the product of her speed (a) and the time (9 seconds) she runs. Therefore, Anna's distance is represented by the variable "da" and can be calculated as da = a * 9.
Similarly, Ping's distance (dp) can be calculated as the product of his speed (p) and the time (9 seconds) he runs: dp = p * 9.
Since Anna starts the race 10 meters ahead of Ping, we can express this as da = dp + 10.
Now, let's substitute the values of da and dp into the equation: a * 9 = (1.20a) * 9 + 10.
Simplifying this equation, we get 9a = 10.80a + 10.
Next, we can isolate the variable "a" (Anna's speed) by moving the terms involving "a" to one side of the equation: 9a - 10.80a = 10.
Simplifying further, we get -1.80a = 10.
To solve for "a" (Anna's speed), we divide both sides of the equation by -1.80:
a = 10 / -1.80.
Evaluating this expression, we find that Anna's speed is approximately -5.55 meters per second.
Therefore, the average speed of Anna is approximately 5.55 meters per second.