A medical rescue helicopter is flying at an average speed of 172 miles per hour toward its base hospital. At 2:42 p.m., the helicopter is 80 miles from the hospital. Use this information for Items 4–6.

4. Which equation can be used to determine m, the number of minutes it will take the helicopter to
reach the hospital? A. 172(60m) = 80
60
C. 172(m)=80
B. 172 (60 )= 80 172
D. 60m=80
5. Solve the equation, and interpret the solution.
m
6. An emergency team needs to be on the roof of the hospital 3 minutes before the helicopter arrives. It takes the team 4 minutes to reach the roof. At what time should the team start moving to the roof to meet the helicopter? Explain your reasoning.
Please explain step by step how u did it I have a test tomorrow I need help

To determine the number of minutes it will take the helicopter to reach the hospital, we can use the formula:

Time = Distance / Speed

In this case, the distance is 80 miles and the speed is 172 miles per hour.

So, the equation that can be used is:

Time (in minutes) = Distance / Speed

1. Convert the speed from miles per hour to miles per minute by dividing it by 60:
Speed (in miles per minute) = 172 miles per hour / 60 = 2.87 miles per minute

2. Substitute the values into the equation:
Time (in minutes) = 80 miles / 2.87 miles per minute

3. Calculate the answer:
Time (in minutes) ≈ 27.85 minutes

Therefore, it will take around 27.85 minutes for the helicopter to reach the hospital.

Now, let's move on to the next question.

5. To solve the equation and interpret the solution, we can use the equation obtained in the previous step:

m ≈ 27.85 minutes

The solution is approximately 27.85 minutes. This means that it will take roughly 27.85 minutes for the helicopter to reach the hospital.

Now, let's move on to the last question.

6. To determine at what time the emergency team should start moving to the roof, we need to consider the time it takes for them to reach the roof (4 minutes) and the time they need to be on the roof before the helicopter arrives (3 minutes).

So, the total time required for the emergency team to be on the roof before the helicopter arrives is:

Total time = Time it takes for the team to reach the roof + Time the team needs to be on the roof before the helicopter arrives
= 4 minutes + 3 minutes
= 7 minutes

To get the final time, we need to subtract the total time from the time the helicopter is expected to reach the hospital.

Final time = Time the helicopter is expected to reach the hospital - Total time
= 2:42 p.m. + 27.85 minutes - 7 minutes

Now, we need to convert the time in minutes back to hours and minutes.

Since 1 hour has 60 minutes, we have:

27.85 minutes ≈ 27 minutes and 0.85 * 60 seconds
≈ 27 minutes and 51 seconds

Now, adding this time to the given time:

2:42 p.m. + 27 minutes + 51 seconds ≈ 3:09 p.m.

Therefore, the emergency team should start moving to the roof at 3:09 p.m. to meet the helicopter.