Two friends fly from from one city to another (a distance apart of 2930 miles). It takes 2 hours and 45 minutes to fly the first 1350 miles. At this rate, how long is the entire flight? Round to the nearest hundredth of an hour.
A)5.57 hours
B)5.97 hours
C)5.17 hours
D)6.76 hours
E)4.77 hours

Question

Quizplus · Accepted Answer

To find the total time of the entire flight, we can use the formula:

total time = time for first leg + time for second leg

We know that the distance for the first leg is 1350 miles, and the total distance is 2930 miles. So the distance for the second leg is:

2930 miles - 1350 miles = 1580 miles

We also know that the time for the first leg is 2 hours and 45 minutes, which is equivalent to:

2 + (45/60) = 2.75 hours

To find the speed of the plane, we can use the formula:

speed = distance / time

For the first leg:

speed = 1350 miles / 2.75 hours
speed = 490.91 mph

We can use this speed to find the time for the second leg:

time = distance / speed
time = 1580 miles / 490.91 mph
time = 3.22 hours

Now we can find the total time:

total time = time for first leg + time for second leg
total time = 2.75 hours + 3.22 hours
total time = 5.97 hours

Rounding to the nearest hundredth of an hour, we get:

total time = 5.97 hours

Therefore, the best choice is B.

Two Friends Fly from From One City to Another (A