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melamori03 [73]

2 years ago

11

The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl

ane starts from the same place at 11 a.m., they will have traveled the same number of miles by 1:00 p.m. If r represents the rate of the automobile, how many miles does the plane travel? 200r 2(200 + r) 10r

2 answers:

Vikentia [17]2 years ago

6 0

Answer:

200r

Step-by-step explanation:

Svetlanka [38]2 years ago

3 0

Answer:

Distance = 500 miles

Step-by-step explanation:

<u>Step 1: Write the data of speed, distance and time for aeroplane and automobile.</u>

<em>Automobile:</em>

Speed = r

Time = 10 hours (3 am till 1 pm)

Distance = SxT

Distance = r x 10 = 10r

<em>Aeroplane:</em>

Speed = 200 + r (200 mph more than automobile)

Time = 2 hours ( 11 am till 1 pm)

Distance = SxT

Distance = 2x(200+r) = 400+2r

<u>Step 2: Equate both distances to find the value of r</u>

Distance of automobile = Distance of aeroplane

10r = 400 + 2r

8r = 400

r = 50

<u>Step 3: Find the distance using any one equation</u>

Distance of automobile = 10r

r = 50

Distance = 10 x 50 = 500 miles

Therefore, the plane travels 500 miles.

!!

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