Natasha drove from Bedingfield to another city at an average speed of 100 km/h to attend a job interview. On the way back she decided to slow down to enjoy the scenery, so she drove at just 75 km/h. Her trip involved a total of 7 hours of driving time. What is the distance between Bedingfield and the other city?

Question

amtran_bus · Answer

Any ideas?

ganeshie8 · Answer

so, distance is same.

say $x$ is the distance between Bedingfield and another city

ganeshie8 · Answer

use the formula :-

distance  =  speed * time

ganeshie8 · Answer

while going to interview :-
$x = 100*t_1$


while returning from interviewe :-
$x = 75*(7-t_1)$

ganeshie8 · Answer

two equations, two unknowns.
you can solve :)

amtran_bus · Answer

Thank you!
I almost did not recognize you since you changed your profile pic!

ganeshie8 · Answer

lol but i remember the bus :)

so u can solve right ? wat do u get for x ?

amtran_bus · Answer

Is there any way I could set this up as a proportion?  But I know x=525-T1 and x=100T1

ganeshie8 · Answer

yup ! u can set it up as proportion

ganeshie8 · Answer

but i prefer solving the two equaitons hmm...

ganeshie8 · Answer

http://www.wolframalpha.com/input/?i=x+%3D+100t_1%2C+x+%3D+75%287-t_1%29

amtran_bus · Answer

Your awesome. Thanks!

ganeshie8 · Answer

np :) i feel u dont get the method lol -_-

amtran_bus · Answer

This assignment is for extra credit. It don't count for any type grade.

ganeshie8 · Answer

ohk good :) u may slowly make peace with solving these then ;)

amtran_bus · Answer

:)

ganeshie8 · Answer

problem wid proportion method is, 
first u need to solve time, and then substitute it in equaiton to get distance.

i dont like it that much

ganeshie8 · Answer

however if the question asks about time, then proporiton method is easy... 
good luck wid others :)