Question

You live in Pennsylvania and your grandparents live in Ohio. When you are in Pennsylvania,
you drive an average rate of 55 mph.
When you are in Ohio, you drive an average
rate of 65 mph. The entire trip of 175 miles
takes 3 hours.
a) How long does it take to get from the
Pennsylvania-Ohio border to your grandparent’s
house?
Answer in units of hours

Can you walk me through how to do this?

Answer 1

2 equations and 2 variables

Answer 2

55*P + 65*O = 175 (Total Miles)
and
P + O = 3 (Total Time)

Answer 3

P = time in Penn
O = Time in Ohio

Answer 4

Solve by substitution maybe, P = 3 - O

The answer to part a) is O = ## hrs

Answer 5

I don't understand what you just did
can you break it down more

Answer 6

okay I used substitution and I got P=2 hours and O=1

Answer 7

k

Answer 8

Is it Right?

Answer 9

here

Answer 10

\[Total Miles = \frac{ 55 mi }{ hr }*\frac{ Time Penn }{ 1 } + \frac{ 65 mi }{ hr }*\frac{ Time Ohio }{ 1 }\]
and

Total Time = Hours Penn + Hours Ohio

Answer 11

Which gives you :

175 = 55*P + 65 *O

AND

3 = P + O

P=hours in penn
O = Hours in Ohio

Answer 12

so
O = 1 hr
P = 2 hr

Answer 13

The answer to part a, is how much time spent driving in OHIO , O = 1 hour

Answer 14

thank you So much

Answer 15

yep, not to hard if you read the question once slow, then back again and translate to equations