Math homework: word problem- please help!!!

[lillybeth]

Leon has to drive 36 miles to work. If he can average a speed of 48 miles per hour, How long does it take him to get to get to work each day? please help, or show me how to do the problem. Thanks guys!

 

[MarkFL]

Use the relationship between distance \(\displaystyle d\), average speed \(\displaystyle \bar{v}\) and time \(\displaystyle t\):

\(\displaystyle d=\bar{v}t\)

We are asked for time, so solve for t:

\(\displaystyle t=\dfrac{d}{\bar{v}}\)

Now, plug in the values given for \(\displaystyle d\) and \(\displaystyle \bar{v}\). What do you get?

 

[lillybeth]

Thanks mark

Use the relationship between distance \(\displaystyle d\), average speed \(\displaystyle \bar{v}\) and time \(\displaystyle t\):

\(\displaystyle d=\bar{v}t\)

We are asked for time, so solve for t:

\(\displaystyle t=\dfrac{d}{\bar{v}}\)

Now, plug in the values given for \(\displaystyle d\) and \(\displaystyle \bar{v}\). What do you get?

Mark:
Thanks bunches but I already found the answer: three-fourths of an hour. Thanks!

 

[MarkFL]

Yes:

\(\displaystyle t=\dfrac{36\text{ mi}}{48\text{ mph}}=\dfrac{3}{4}\,\text{ hr}=45\text{ min}\).

 

[lillybeth]

Yes:

\(\displaystyle t=\dfrac{36\text{ mi}}{48\text{ mph}}=\dfrac{3}{4}\,\text{ hr}=45\text{ min}\).

!!!