Two planes leave the same point at 8 am. plane 1 head east at 600 mph and plane 2 head west at 450 mph
question 1) how long will they be 1400 miles apart? ?
question 2) at what time will they be 1400 miles apart? ?
question 3) how far has each plane traveled

(1). Planes will be 1400 miles apart after hours.

(2). Both the planes will be 1400 miles apart at 9:20 A.M.

(3). Plane 1 and plane 2 will travel 800 miles and 600 miles respectively.

Speed of an object is given by,

(1). Given in the question,

    Let both the planes travel for 't' hours,

    Distance traveled by 1st plane = Speed × Time

                                                        = 600 × t

    Distance traveled by 2nd plane = 450 × t                      

    Distance between these planes = 1400 miles

    Therefore, equation for the total distance traveled by them will be,

    600t + 450t = 1400

    Simplify the equation for the value of 't'

    1050t = 1400

     t = hours

        Therefore, both the planes will be 1400 miles apart after hours.

(2). Both the planes left at 8 A.M.

      After traveling for hours, time will be → 8 + = 9.20 A.M.

           Therefore, at 9.20 AM both the plane will be 1400 miles apart.

(3). Distance traveled = Speed × Time

      Distance traveled by plane 1 =

                                                       = 800 miles

      Distance traveled by plane 2 =

                                                       = 600 miles

           Therefore, distances traveled by the planes 1 and plane 2 will be

      800 miles and 600 miles respectively.

Learn more about the speed, distance and time here,

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Question 1: They will be 1400 miles apart after 4/3 hours (1 hr and 20 min)

Question 2: The time will be 9:20 AM.

Question 3: Plane 1 has traveled 800 miles, Plane 2 has traveled 600 miles

Step-by-step explanation:

* Lets explain how to solve the problem

- Two planes leave the same point at 8 AM

- Plane 1 head east at 600 mph

- Plane 2 head west at 450 mph

# Question 1:

- After t hours the distance between them will be 1400 miles

∵ The speed of plane 1 is 600 mph

∴ The distance it has moved in t hours = 600 × t = 600t

∵ The speed of plane 2 is 450 mph

∴ The distance it has moved in t hours = 450 × t = 450t

∵ Plane 1 head east and and plane 2 head west

- East and west are on the same line but in opposite direction

∵ The distance between them after t hours is 1400 miles

∴ Distance of plane 1 + distance of plane 2 = 1400

∴ 600t + 450t = 1400

∴ 1050t = 1400 ⇒ divide both sides by 1050

∴ t = 4/3

∴ They will be 1400 miles apart after 4/3 hours (1 hr and 20 min)

# Question 2:

∵ The two planes leave at 8 AM.

∵ They move for 1 hour and 20 minutes

∴ The time will be 9:20 AM.

# Question 3:

∵ The speed of plane 1 is 600 mph

∵ It has traveled for 4/3 hours

∴ Its distance = 600 × 4/3 = 800 miles

* Plane 1 has traveled 800 miles

∵ The speed of plane 2 is 450 mph

∵ It has traveled for 4/3 hours

∴ Its distance = 450 × 4/3 = 600 miles

* Plane 2 has traveled 600 miles

a

step-by-step explanation: