A new event for the rodeo circuit is the quarter horse mile which is four laps around the race track Colton entered his quarter horse Jasper in the race in three consecutive rodeos Jasper completed his first race and exactly 4 and 1/2 minutes with an average lap time of 1.125 minutes for left in Jasper second race he changed his average lap time from the first race by -0.075 minutes in Jasper's third racing changed his total race time from the first race by -1 minute what is the total race time for his second and third races

For the first race, Jasper completed the race in 4.5 minutes with an average lap time of 1.125 minutes.

Therefore, his second race had an average lap time of 1.125 - 0.075 = 1.05 minutes.

In his third race, his total race time was decreased by 1 minute from the first race. So, his total race time for the third race was 4.5 - 1 = 3.5 minutes.

The total race time for his second race would be 4 laps x 1.05 minutes = 4.2 minutes.

Therefore, the total race time for his second and third races would be 4.2 minutes + 3.5 minutes = 7.7 minutes.

No what is the race time for his third race

To find the race time for Jasper's third race, we first need to determine the average lap time for the third race.

From the information given, we know that Jasper's average lap time in the first race was 1.125 minutes and he decreased it by 0.075 minutes for the second race. Therefore, his average lap time for the second race was 1.125 - 0.075 = 1.05 minutes.

In the third race, his total race time was decreased by 1 minute from the first race, which was 4.5 minutes. So, the total race time for the third race would be 4.5 - 1 = 3.5 minutes.

Since the average lap time for the second race was 1.05 minutes, we can find the total race time by multiplying the average lap time by the number of laps:

Total race time for the third race = 4 laps x 1.05 minutes = 4.2 minutes.

Therefore, the race time for Jasper's third race was 3.5 minutes.

The answers for his third race time are

0.875
0.975
1.275
1.375
4.375
4.625

Let's reevaluate Jasper's third race time:

For the first race, Jasper completed the race in 4.5 minutes with an average lap time of 1.125 minutes.

In the second race, he decreased his average lap time by 0.075 minutes, resulting in an average lap time of 1.05 minutes.

For the third race, we know that Jasper decreased his total race time by 1 minute from the first race. Therefore, we need to calculate the third race's total race time.

We know his average lap time for the second race was 1.05 minutes, and he completed 4 laps in each race.

Let's calculate the total race time for the third race:

Total race time for the third race = 4 laps x 1.05 minutes = 4.2 minutes

As calculated before, the total race time of the third race is 4.2 minutes.

From the options provided:
- 0.875 is lower than Jasper's first race time (4.5 minutes) and is not a plausible time for the third race.
- 0.975 is not a possible time.
- 1.275 is higher than Jasper's first race time of 4.5 minutes and is incompatible with the information given.
- 1.375 is also higher than Jasper's first race time.
- 4.375 is the total race time for the first race and not for the third race.
- 4.625 is the total race time for the first race and not for the third race.

Thus, the correct answer should be 4.2 minutes.

Sorry you need to find the average lap time in the third race

I apologize for the confusion. Let's find the correct average lap time for Jasper's third race.

In the first race, Jasper completed the race in 4.5 minutes with an average lap time of 1.125 minutes.

In the second race, his average lap time was reduced by 0.075 minutes from the first race. So his average lap time for the second race was 1.125 - 0.075 = 1.05 minutes.

For the third race, Jasper's total race time was reduced by 1 minute from the first race, which was 4.5 minutes. Therefore, the total race time for the third race is 4.5 - 1 = 3.5 minutes.

To find the average lap time for the third race, we can divide the total race time by the number of laps:

Average lap time for the third race = Total race time / Number of laps
Average lap time for the third race = 3.5 minutes / 4 laps
Average lap time for the third race = 0.875 minutes

Therefore, the correct average lap time for Jasper's third race is 0.875 minutes, which matches one of the provided options.