Question

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

Answer 1

it takes 10.8 hours because 18*3 is 54 and 54/5 is 10.8

Answer 2

Answer:

Total time taken in entire trip = 220 minutes

Step-by-step explanation:

For Downwind  : Bird speed = 18 miles/hour

                            time taken = x hours

                       total distance = speed x time taken

                                               =  18 (x) = 18x

for returning  speed   3 miles per hour slower that is 18-3 = 15 miles per hour

time taken = x hours

and distance traveled =  5 miles lesser than previous that is 18x -5

that is from above

15x =  18x -5

15x-18x = -5

-3x = -5

3x =5

x =$\frac{5}{3}$ hours or 100 mins.

total distance taken for   returning  =   18 ($\frac{5}{3}$) = 30  miles

time taken for return = $\frac{30}{15} =2$ hours or 120 minutes

therefore total time taken for the entire journey = 100 +120 = 220 minutes.