Question

#!). Two planes leave New York at 10am, One heading for Europe at 600mph and one heading in the opposite direction at 150mph. At what time will they be 900 miles apart? How far has each traveled?

Answer 1

Speed = Distance / time

Distance = Speed x time

In t hours, first plane travels = 600 t miles

In t hours, the second plane travels =150 t miles

After t hours the distance between the two planes is:

(600t+150t)= 750t ( since both travel in opposite directions)

When the distance is 900 miles:

750t= 900

Solve for t:

t= 900/750

t= 1.2 hours

After 1.2 hours.

1.2 x 60 = 72 minutes = 60 +12 = 1 hour and 12 minutes

Since both leave at 10 pm:

10am + 1 hour and 12 minutes : 11:12 am

They will be 900 miles apart at 11:12 am

Each one traveled:

Plane 1:

Distance: Speed x time = 600 mph x 1.2 = 720 miles

Plane 2:

Distance = Speed x time = 150 mph x 1.2 = 180 miles