Al and Harpreet are racing to Wing Stop to get the last batch of fries made for lunch. Al participates in cross country and can cover (write in value) per minute. Harpreet likes to watch TV and play video games. She is out of shape and can only cover 3 units per minute. If both students start at the same time from their given positions (write in value), who will make it to wing stop first? at what point on the coordinate grid will Al over take Harpreet.
On coordinate plane: (-5,3), Al:(-2,3), Building B (5,3), Harpreet (5,1), road (5,-3), and wing stop (-5,3
To determine who will make it to Wing Stop first, we need to calculate the time it will take for both Al and Harpreet to reach their destination.
First, let's calculate the distance between Al and Wing Stop:
Distance = Wing Stop x-coordinate - Al x-coordinate
Distance = (-5) - (-2)
Distance = -5 + 2
Distance = -3 units
Next, let's calculate the distance between Harpreet and Wing Stop:
Distance = Wing Stop x-coordinate - Harpreet x-coordinate
Distance = (-5) - (5)
Distance = -5 - 5
Distance = -10 units
Given that Al can cover (write in value) per minute and Harpreet can cover 3 units per minute, we can determine the time it will take for each of them to reach Wing Stop:
Time taken by Al = Distance / Al's speed
Time taken by Al = -3 / (Al's speed)
Time taken by Harpreet = Distance / Harpreet's speed
Time taken by Harpreet = -10 / (Harpreet's speed)
Since we don't have the specific speed values for Al and Harpreet, we cannot determine who will make it to Wing Stop first without knowing the actual speeds. However, we can determine the point on the coordinate grid where Al overtakes Harpreet.
The coordinate where Al overtakes Harpreet will be the point where their distances from their starting points to that point are equal. In other words, the point where Al is located at that moment will have the same x-coordinate as Harpreet.
To find this point, we set Al's x-coordinate equal to Harpreet's x-coordinate and solve for the y-coordinate:
Al x-coordinate = Harpreet x-coordinate
-2 = 5
Since -2 does not equal 5, it means Al has not yet overtaken Harpreet. We can continue by incrementing the x-coordinate of Al and recalculating the y-coordinate until Al's x-coordinate equals Harpreet's x-coordinate.
However, based on the given information, Al's x-coordinate and Harpreet's x-coordinate are already different, and we cannot determine the point where Al overtakes Harpreet in this scenario.