An airline ticket states that the flight takes 2 hours and 45 minutes. The flight time is actually 2 hours and 54 minutes. What is the percent error in the flight time?

Respuesta :

Answer:

5.45%

Step-by-step explanation:

Given:

An airline ticket states that the flight takes 2 hours and 45 minutes.

The flight time is actually 2 hours and 54 minutes.

Question asked:

What is the percent error in the flight time?

Solution:

As we know:

[tex]Percent\ error=\frac{Experimental\ value - Theoretical\ value}{ Theoretical\ value}} \times100[/tex]

Theoretical value = 2 hours and 45 minutes

1 hour = 60 minutes

2 hours 45 minutes = 60 [tex]\times[/tex] 2 + 45 = 120 + 45 = 165 minutes

Experimental value = 2 hours and 54 minutes

1 hour = 60 minutes

2 hours 54 minutes = 60 [tex]\times[/tex] 2 + 54 = 120 + 54 = 174 minutes

[tex]Percent\ error=\frac{174-165}{165} \times100\\ \\ Percent\ error=\frac{9}{165} \times100\\ \\ Percent\ error=\frac{900}{165} \\ \\ Percent\ error=5.45[/tex]

Thus, the percent error in the flight time is 5.45%

Answer:

Step-by-step explanation:

Question asked:

What is the percent error in the flight time?

Solution:

As we know:

Theoretical value = 2 hours and 45 minutes

1 hour = 60 minutes

2 hours 45 minutes = 60  2 + 45 = 120 + 45 = 165 minutes

Experimental value = 2 hours and 54 minutes

1 hour = 60 minutes

2 hours 54 minutes = 60  2 + 54 = 120 + 54 = 174 minutes

Thus, the percent error in the flight time is 5.45%