SOLUTION: Hi, I am studying for my Math Exam tomorrow. I was not sure how to set up the following problem for solving. Can you explain, please? Bob drove 200 miles in the same amount of

Algebra.Com
Question 951840: Hi, I am studying for my Math Exam tomorrow. I was not sure how to set up the following problem for solving. Can you explain, please?
Bob drove 200 miles in the same amount of time that it took a propeller plane to fly 1,100 miles. The speed of the plane was 180 mph faster than the speed of the car. Find the speed of thee car and the speed of the plane.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Bob drove in the same amount of time that it took a propeller plane to fly
in time

a propeller plane to fly:

in same time :

since given that the speed of the plane was greater then speed of a car, we have

now we have for the car:

and the plane:

since given that equal, we have
....the car
and
.......the plane
so,
...simplify







.....the speed of
.....the speed of
check:
car



plain



so, the time is same
your answer is:
the speed of is and the speed of is



Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Hi, I am studying for my Math Exam tomorrow. I was not sure how to set up the following problem for solving. Can you explain, please?
Bob drove 200 miles in the same amount of time that it took a propeller plane to fly 1,100 miles. The speed of the plane was 180 mph faster than the speed of the car. Find the speed of thee car and the speed of the plane.
Let speed of car be S

Then speed of plane = S + 180

Time car takes to travel 200 miles: 

Time plane takes to travel 1,100 miles: 

Since times are equal, we get: 

1,100S = 200(S + 180) -------- Cross-multiplying

1,100S = 200S + 36,000 

1,100S – 200S = 36,000

900S = 36,000

S, or speed of car = , or  mph

Speed of plane: 40 + 180, or  mph 

RELATED QUESTIONS


I am stuck on a question from my text book, on Inequalities, Permutations, and... (answered by longjonsilver)

Good evening, I am currently studying for an important exam tomorrow morning, and I am... (answered by MRperkins)

Hi! 
I have this word problem that I've been trying to figure out for awhile. My... (answered by ankor@dixie-net.com,MathLover1,ikleyn)

 I wasn't sure where to put this because my text is Inequalities, Permutations, and... (answered by CharStar,Levski123)

I wasn't sure where to put this because my text is Inequalities, Permutations, and... (answered by longjonsilver)

Hello,

My name is Kristin and I am studying for a math placement exam. I am rusty on... (answered by longjonsilver)

Hello,

My name is Kristin and I am studying for a math placement exam. I am rusty on... (answered by venugopalramana)

Hi, I am studying for an exam. I do have to turn my work in for credit, and need to show... (answered by Fombitz)

I looked over my notes several times, but I still have trouble setting up the problem and  (answered by stanbon,bucky)