Question

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 airplane starts from the same place at 11 a.m., they will have traveled the same number of miles by 1:00 p.m. Find the rate of the automobile.

Answer 1

plane = 200 + car

2* plane = 10 * car

solve the system of equations

Answer 2

i got 2 and 10 from the time elapsed from when they started to 1pm

Answer 3

let the velocity of a car is\[v _{c}\]

Answer 4

so the velocity of plane is\[v _{c}+200\]

Answer 5

if the distance is \[x\]

Answer 6

anyway car travels for 10 hrs

Answer 7

so\[v _{c} \times 10=x\]

Answer 8

and plane travels for 2 hrs

Answer 9

so for plane\[(200+v _{c}) \times 2=x\]

Answer 10

and\[(200+v _{c}) \times 2=v _{c} \times 10\]

Answer 11

now solve it

Answer 12

anyway r u following me?

Answer 13

what answer u got?

Answer 14

\[v _{c}=50 mph\]