Question

Kim rode her bike at a rate of 24km/h to the post office and 16km/h back home.  If her trip to the post office and back took a total of 75 minutes, how far does Kim live from the post office?

Answer 1

\[\frac{Distance}{24\frac{km}{h}} + \frac{Distance}{16\frac{km}{h}} = 75\ minutes\]

Answer 2

\[75\ minutes *\frac{1\ hour}{60\ minutes} = 1.25\ hours\]

Answer 3

Then what happens

Answer 4

\[Distance*(\frac{1}{24}+\frac{1}{16}) = 1.25\](in kilometers)

Answer 5

Basically we have Distance divided by speed equals time. Time 1 + Time 2 = 1.25 hours and Distance 1 = Distance 2.

Answer 6

Hi
Hey good day

Answer 7

Can you add those fractions?

Answer 8

It is 5/48

Answer 9

Good, so now multiply both sides of the equation by the reciprocal and you have the Distance to the post office in kilometers.

Answer 10

When you are done you should check to make sure that Time 1 and Time 2 make sense.

Answer 11

How do you do that can u show me

Answer 12

75 trimestre 5/48

Answer 13

\[Distance*\frac{5}{48}*\frac{48}{5} = 1.25*\frac{48}{5} \]

Answer 14

Distàncies is75 rite

Answer 15

No. Distance is 1.25 * 48/5

Answer 16

Help

Answer 17

So Ife You cursos divided You get 1.25 trimestre 48/5= that

Answer 18

So 12 =12 is Thatcher t'he correct answer

Answer 19

hello is that answer

Answer 20

\[Distance∗\Big(\frac{1}{24}+\frac{1}{12}\Big)=1.25\]
\[Distance∗\frac{5}{48}=1.25\]
\[Distance∗\frac{5}{48}∗\frac{48}{5}=1.25∗\frac{48}{5}\]
\[Distance=1.25∗\frac{48}{5}=12\]
Now check to make sure the times make sense. How long did it take to get to the post office?

Answer 21

How did you get 1/12

Answer 22

Oops. I meant 1/16. Sorry.

Answer 23

Isn't it 1/16

Answer 24

Hard to type in LaTeX and keep track of the problem.

Answer 25

How long did it take to get to the post office?

Answer 26

How do I do that I got 12

Answer 27

You got a Distance of 12 km to the post office. How long did it take to get there?

Answer 28

Back and forth it took 75 min

Answer 29

Right. So how long did it take to get there?

Answer 30

I'll give you a hint: If the distance was 24 km, it would have taken 1 hour to get there.

Answer 31

Remember:
Distance = Speed * Time

Answer 32

the question is how far does kim live from thhe post office

Answer 33

@Tahmina, I am suggesting that you check your answer. If 12km is correct then we should be able to quickly check that the travel times make sense. This kind of problem can easily end up with impossible solutions if we make a mistake.

Answer 34

She travels 24kmph to the post office, so if the distance is 12 km, it should take how long?