Question

Wilma drove at an average speed of 60mph from her home in City A to visit her sister in City B.
She stayed in City B 25 hours, and on the trip back averaged 40mph. She returned home 42hours after leaving.
We have to determine how many miles x is it from City A to City B.

1. In terms of x, express Wilma's driving time from A to B
It is ____________

2. In terms of x, her return driving time is ______________

3. Her TOTAL driving time is: _____________ (trip time minus visiting time)

So answer from 1. PLUS 2. set equal to 3. is the equation:

_______________________ = ___________________.

Answer 1

This is the problem...

Answer 2

:/

Answer 3

I'm not sure if I enter these in wrong or what.. but are you able to tell me which number goes to which blank?

Answer 4

#1 avg speed=60mph; distance=x, then time=x/60

#2 time=x/40

#3 total driving time=42-25

x can be obtained by solving:
x/60+x/40=42-25

Answer 5

I've entered what annand have and it's correct.. but I'm trying to solve for the last problem now. which is solving for x

Answer 6

exactly, suzi... but isn't 42=(travel time from a to b)+ staying time+(ravel time from b to a)

Answer 7

so to solve X,

(x/60) + (x/40) = 17

I would have to multiply 60 by each side, correct? and solve?

Answer 8

better multiply both sides with 120... its a multiple of both 40 & 60...

Answer 9

Are you able to show me the steps?

Answer 10

try your hand... if its difficult, i'll help...

Answer 11

17*120 = 2040.. right? then does that make the x/60 + x/40 = to x? since it all cancels out?

Answer 12

after multiplying with 120:
2x+3x=17*120
5x=17*120
x=17*120/5

Answer 13

you don't need to find 17*120 outrightly...
120/5=24

Answer 14

so how did you get 3 and 2?

Answer 15

2x + 3x

Answer 16

Thanks a lot annand! <3

Answer 17

\[120*\left( x/60+x/40 \right)=(120*x/60)+(120*x/40)=2x+3x\]

Answer 18

:-)