Use the formula D=rt where D is distance, r is rate, and t is time.
1. Solve D=rt for rate. (1 pt)
40
2. Use the statistics given in Act Two and your equation from #1.
a. At what speed (rate) does Rich run the 40-yard dash? (1 pt)
b. At what speed (rate) does Julio run the 40-yard dash? (1 pt)
c. Solve D=rt for time. How long does it take Rich to run with a 10-yard lead? (1 pt)
D=30 yds
d. How long does it take Julio to run the 40-yard dash at half-speed? Who will win? (2 pts)
3. If both runners are at full speed, how many yards of a head start will Rich need to win? (2 pts)
4. Write and solve your own question using this scenario. (Remember to show all work!) (2 pts)
You don't show your work or all of the data. What statistics are in Act Two? With all that missing, we cannot respond.
1. To solve the equation D=rt for rate (r), divide both sides of the equation by time (t).
D/t = r
Therefore, the formula to solve for rate is r = D/t.
2a. To find Rich's speed (rate) in the 40-yard dash, we need the distance (D) and time (t) values. Unfortunately, these values are not provided in the question, so we are unable to calculate Rich's speed.
2b. Similarly, we would need the distance and time values for Julio's 40-yard dash to calculate his speed.
2c. To solve D=rt for time (t), we need the distance (D) and rate (r) values. However, in this part of the question, only the distance value is provided (D=30 yds). Without knowing the rate, we cannot calculate the time it takes for Rich to run with a 10-yard lead.
2d. To determine the time it takes Julio to run the 40-yard dash at half-speed, we would need his rate (which is half of his full-speed rate) and the distance (D=40 yds). Without knowing Julio's rate, we cannot calculate the time or determine the winner.
3. To calculate how many yards of a head start Rich needs to win, we need to consider the rates and distances of both runners. Unfortunately, the rates and distances of the runners are not provided in the question, so we are unable to determine how many yards of a head start Rich would need to win.
4. To write and solve your own question using this scenario, you could provide specific values for the distance, rate, and time for either Rich or Julio in the 40-yard dash. For example:
If Rich runs at a rate of 8 yards per second, how long will it take him to complete the 40-yard dash? To solve this question, you would use the formula D=rt and plug in the values D=40 yards and r=8 yards/second to solve for time (t).