Question

Manuel traveled 6 hours non stop to mexico, a total of 253 miles. He took a train part of the way, which averaged a speed of 50mph, and then took a bus the remaining distance, which averaged 40 mph. How long was manuel of the train???
Please help ! i am not good with word problems i need help setting it up!

Answer 1

lets call the distance travelled by train \(x\)
so the distance travelled by bus is \(253-x\)

Answer 2

the time travelled by train is \(\frac{x}{50}\)and the time travelled by bus is \(\frac{253-x}{40}\)

Answer 3

since time is distance divided by rate
as the total time is \(6\) you can solve
\[\frac{x}{50}+\frac{253-x}{40}=6\]

Answer 4

multiply both sides by 200 to clear the fractions and solve for \(x\)

Answer 5

so x=65???

Answer 6

yup

Answer 7

so he was on the train for 65hrs??

Answer 8

wait hold the phone

Answer 9

is the question really "How long was manuel of the train?"

Answer 10

yes

Answer 11

you are told that in the question!

Answer 12

Manuel traveled 6 hours non stop to mexico

evidently he was on the train for 6 hours

Answer 13

it says he traveled a total time of 6 hrs but it doesnt say how long he was on each

Answer 14

oh that is the question
how long in each

Answer 15

yes not a very good question

Answer 16

ok so he was on the train for 65 miles

Answer 17

yes that is what i got when i solved it

Answer 18

the time he was on the train is \(\frac{65}{50}=1.3\) hours

Answer 19

awesome thank you !!

Answer 20

or one hour and twenty minutes

Answer 21

yw