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

Total time taken in entire trip = 220 minutes

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 =
`(5)/(3)` hours or 100 mins.

total distance taken for returning = 18 (
`(5)/(3)`) = 30 miles

time taken for return =
`(30)/(15) =2` hours or 120 minutes

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