a friend calls yo an asks you to meet at a location 3 miles from your home in 20-40 minutes. you start on your bike after the call. write and solve an equation to find the average rate range in miles per hour to be at the meeting place within the allotted time frame .

Question

anonymous · Answer

Your highest velocity will be if you travel 3 miles in 20 minutes. What velocity is that?

Your lowest velocity will be if you travel 3 miles in 40 minutes. What velocity is that?

anonymous · Answer

how do i find that

anonymous · Answer

The velocity is given by: $$velocity=\frac{\text{distance travelled}}{\text{time taken}}$$

anonymous · Answer

0.15 for the first one. is that correct?

anonymous · Answer

oh, your supposed to find a compound inequality not an equation, my bad

anonymous · Answer

Sort of! Notice that the units for time are MINUTES, so you got a velocity in terms of miles per MINUTE, but the question asks you for velocity in terms of miles per HOUR. How do you think you would fix that?

anonymous · Answer

i guess you would write a proportion

anonymous · Answer

20 minutes is 0.3 hours

anonymous · Answer

40 minutes is 0.6 hours

anonymous · Answer

Approximately, yes. Alternatively, leave it as a fraction (20 minutes is 1/3 hours, 40 minutes is 2/3 hours).

anonymous · Answer

ok

anonymous · Answer

so then the inequality is

anonymous · Answer

1/3 < x < 2/3 ?

anonymous · Answer

You're on the right track. Remember that the final answer is not just the time range, but the velocity range. Calculate the velocity for those two times.

anonymous · Answer

i got 9 for the first one and 4.49 for the second one

anonymous · Answer

Sounds good to me.

anonymous · Answer

:D

anonymous · Answer

omg thank you <3