Question

A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the round trip?

Answer 1

since rate times time = distance, it follows that distance divided by rate = time

Answer 2

So when she went to work, it took her d/40 hours. When she came home, it took her d/30 hours.

Answer 3

All together it took her 1 hour. Can you write the equation?

Answer 4

d/40 + d/30 = 1 ?

Answer 5

Good job!! Can you solve it?

Answer 6

Oh ok :) Thanks.

Answer 7

yw

Answer 8

Let me know what you get.

Answer 9

is it 120 = 70d ?

Answer 10

Not one of the answer choice..

Answer 11

What did you get?

Answer 12

1.714.. from 120 = 70d ?

Answer 13

No, sweetheart. It's 1200 = 70d

Answer 14

You could use 120 for the common denominator, then it would be 3d + 4d = 120

Answer 15

Ohh 120=7d. 17.14

Answer 16

good for you!!

Answer 17

Thank you

Answer 18

Is that one of the choices?

Answer 19

Lol, just check now. No.

Answer 20

Oh mercy. What are the choices?

Answer 21

A. 30
B. 30 and 1/7
C. 32 and 2/7
D. 35
E. 40

Answer 22

Whoops. The question was "how many miles is the round trip?" So we need to multiply our answer by 2 to get the total distance going to work and coming home.

Answer 23

d represented the average number of miles per trip?

Answer 24

34.2857 = C

Answer 25

d represented the distance to work and the distance home from work since they are both the same. So the total distance is d + d or 2d.

Answer 26

Well, that's what I thought at first but C says 32 and 2/7 not 34 and 2/7

Answer 27

Oops typo on my part C) 34 and 2/7!

Answer 28

Oh good!!! Then yes. C

Answer 29

Thank you :D

Answer 30

You are most welcome.

Answer 31

That was fun, wasn't it?