Question

The speed of a passenger train is 16mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 220 miles. Find the speed of each train.

Answer 1

\[Speed = \frac{distance}{time}\]
\[time = \frac{distance}{speed}\]

Answer 2

Freight train,
220/x

passenger train,
300/x+16

Answer 3

\[\frac{200}{x}=\frac{300}{x+16}\]

Answer 4

I was trying to work on this problem and your third response is as far as I got. I don't know how to do the rest. Thank you.

Answer 5

\[300x = 200x + 3200\]
\[x = 32\]

Answer 6

where are u stuck now? i can explain..

Answer 7

I came up with the equations, 300=(r+16)t, 220=(r)t. I just used r as the variable. I don't know what to do next to get the speeds for each train.

Answer 8

Now as the question is saying that they took the same time.. so equal them with respect to time.

Answer 9

Like in the second thing i wrote was the equation with respect to time..

As both took the same time, so we can equal them to find the variable.

Answer 10

getting it?

Answer 11

Yes, I see.

Answer 12

So are they both 32mph?

Answer 13

@ saifoo.khan

The solution to the following is x = 44, not 32.\[\frac{300}{x+16}=\frac{220}{x}\]

Answer 14

Oh, Right. LOL.

Answer 15

freight = x = 44.

passenger = x+16 = 60

Answer 16

Ah, I'm confused now hahah ;p jk

Answer 17

Freight train,
220/x

passenger train,
300/x+16

\[\frac{220}{x}=\frac{300}{x+16}\]
\[220x + 3520=300x\]
\[x = 44\]

Answer 18

Thank you for the medals.

Answer 19

so,
freight = x = 44

passanger = x+16 = 44+16 = 60

Answer 20

Sorry for the typos.
THanks Robo! :D

Answer 21

Still confused? :(

Answer 22

No, I got it. Thank you! I am just working on more problems like this and left the window open. :)

Answer 23

Ohh! okay!!
cool.
if u r stuck, u can ask problems here!!

Answer 24

Will do! :)

Answer 25

Cool. [:

Answer 26

A particular hybrid car travels 162 mi on 3 gal of gas. Find the amount of gas required to make an 810-mi trip. (I am having trouble crossing the products to solve the proportion.)

Answer 27

that's easy.

Answer 28

15 gal.

Answer 29

Wow! I admire your brain. :)

Answer 30

Thanks!! ^_^
im 16. :D

Answer 31

Awesome. I hope you get very far. I've been out of school for too long and am just remembering these things. I was your age 10 years ago haha. You're a great help.

Answer 32

lol, thank you!! Thankyou.

this is mathlab right?
i help many mathlabbers! :D

Answer 33

Yes, it is. I've been getting awesome grades for every class... but math... eeh not so great. This website is amazing. I've only got another 9 questions to finish and then i'm done with this checkpoint.

Answer 34

if u want help, i can help u through! ^_^.

Answer 35

Okay!
Hat sizes are determined by measuring the circumference of one's head in either inches or centimeters. Use ratio and proportion to complete the following table:

Hat size: Head circumference: (to nearest 1/5 inch) Head circ. to nearest cm
7 3/8 23 1/5 59
7 1/4 ___ ___

(For the first answer box, round to the nearest 5th inch as needed. For the 2nd box round to the nearest cm as needed.)

Answer 36

wow, that was long. LOL.

Answer 37

hahaha. I know! -_-

Answer 38

Okay!
Hat sizes are determined by measuring the circumference of one's head in either inches or centimeters. Use ratio and proportion to complete the following table:

Hat size: Head circumference: (to nearest 1/5 inch) Head circ. to nearest cm
7 3/8 23 1/5 59
7 1/4 22.8 ___

(For the first answer box, round to the nearest 5th inch as needed. For the 2nd box round to the nearest cm as needed.)

Answer 39

Okay!
Hat sizes are determined by measuring the circumference of one's head in either inches or centimeters. Use ratio and proportion to complete the following table:

Hat size: Head circumference: (to nearest 1/5 inch) Head circ. to nearest cm
7 3/8 23 1/5 59
7 1/4 22.8 58

(For the first answer box, round to the nearest 5th inch as needed. For the 2nd box round to the nearest cm as needed.)

Answer 40

Woot! Next one...
A sample of 141 firecrackers contained 7 duds. How many duds would you expect in a sample of 1692 firecrackers?

Answer 41

84

Answer 42

I need to attach an image for the next one since there are two triangles.

Answer 43

Sure.

Answer 44

Ok. :)

Answer 45

not 9.

Answer 46

17.25

Answer 47

It said 17.25 was not correct.

Answer 48

92/3
?

Answer 49

Correct. Next one...
Find the variation constant and an equation of variation where y varies directly as x and y = 24 when x=4
The variation constant is k = ?

Answer 50

6

Answer 51

b) 6x

Answer 52

Awesome. Posting another attachment.

Answer 53

2952?

Answer 54

It was incorrect. I attached the hint it mentions.

Answer 55

i hate this one! always get wrong! >_<

Answer 56

I think it might be the result of 2952*1,166,000???

Answer 57

NOWAY.

Answer 58

didn't it chaged the values?

Answer 59

after u got it wrong?

Answer 60

i have just 8 more minutes! :O

Answer 61

Here's an example...
Oh noes!

Answer 62

i will be back after 1 hour them!

Answer 63

460,570,000

Answer 64

Okay. I will still have time to submit since I am in a pacific time zone.
Correct! This leaves me at 4 more. :)

Answer 65

let, roll.

Answer 66

Dun dun dun!

Answer 67

Hey im back! :D

Answer 68

just a sec.

Answer 69

Welcome back, buddy! Sure. :)

Answer 70

a) k = 140.

b) 140/x

Answer 71

Q21) 64

Answer 72

Cool! Did you see number 22? I knew it was an inverse variation but I didn't get the 2nd part of the question.

Answer 73

i wrote it's answer as well,
it's
140/x

Answer 74

D'oh! I meant 23. Silly me. ;p

Answer 75

1.5

Answer 76

You probably do these all in your head??? :D

Answer 77

haha, yea.. i have done the whole Algebra course like 4 times. LOL.

Answer 78

And final weeks like 7times.

Answer 79

Oh, snap. I think the only thing that changes in Math Lab are the numbers. I've found a lot of examples online. Some I just don't understand, but I'm getting there. Here's the last one. Weeeeeeeeeee!

Answer 80

Yea, they know that people can cheat with those answers. Like in Appendixes.

Answer 81

You will get very far in life... It seems like you help people for the sake of helping them because it's what you enjoy doing. Karma is always good to people like you. :)
I have actually been trying to learn this time around because knowledge will help you know what you're talking about. I guess math can be hard if you don't want to learn it, which most people don't.

Answer 82

3200/9

Answer 83

hehe, thank you.. thanks alot for the appreciation.. Yes, i enjoy alot and i learn alot. and people get advantage from it.. which is really good. well, there are other reasons as well..
Yes, you are right.
I have a pretty good command on math.. so i try helping people out..
since the material provided by UoP people isn't that good..

Answer 84

I kept getting unresponsive script messages for a few minutes there. And you're welcome. My hands are tied with so many responsibilities that it makes schoolwork nearly impossible. Yeah, some of the material seems pretty outdated so I go on Youtube to try and find the most informational tutorials. They really help. I'm probably going to be back on here tomorrow if I need help with the quiz that is due Sunday.

Answer 85

Ohh!
yes, youtube provides alot of help.

in which week are u in?
how many questions does it have?

Answer 86

Just finishing up Week 4. The quiz has 23 questions of weeks 3 and 4. I can do the problems as far as simplifying, but I am not very good at worded problems.

Answer 87

Alright, but how u gonna tell me that u r online?
do u have email fb or something?

Answer 88

I see your email is posted on your openstudy profile. I will email you from my gmail account.