A bird leaves its nest and travels 18 miles per hour downwind for x hours. One the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
hours
minutes and
seconds

Step-by-step explanation:

Let y represent the distance travelled downwind by the bird from its nest.

Time = distance/speed

A bird leaves its nest and travels 18 miles per hour downwind for x hours. Time spent in travelling downwind is

x = y/18

One the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours. It means that the speed at which the bird travelled is 18 - 3 = 15 mph. Also, the distance covered in x hours is (y - 5) miles. Therefore,

x = (y - 5)/15

Since the time is the same, then

y/18 = (y - 5)/15

Cross multiplying, it becomes

15y = 18(y - 5)

15y = 18y - 90

18y - 15y = 90

3y = 90

y = 90/3

y = 30

a) The distance of the entire trip is

30 + 30 = 60 miles

b) time taken for the trip from the nest is

x = y/18 = 30/18

Time taken to return is

x = (y - 5)/15 = (30 - 5)/15 = 25/15

Time for the entire trip is

30/18 + 25/15 = 900/270

= 3 90/270 = 3 1/3 hours

= 3 hours + 1/3 × 60 minutes

= 3 hours 20 minutes

The total trip took 3 hours, 20 minutes and 0 seconds.

b. the decimal could be two-tenths.

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05