SOLUTION: The time t that it takes to get to school varies inversely with your average speed s.
(a) Suppose that it takes you 40 minutes to get to school when your average speed is 30 mi
Algebra.Com
Question 1208018: The time t that it takes to get to school varies inversely with your average speed s.
(a) Suppose that it takes you 40 minutes to get to school when your average speed is 30 miles per hour. Express the driving time to school in terms of average speed.
(b) Suppose that your average speed to school is 40 miles per hour. How long will it take you to get to school?
Found 4 solutions by josgarithmetic, timofer, greenestamps, ikleyn:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
s, the average spped
t, the time,
k, almost certain this will correspond to distance.
Answer by timofer(105) (Show Source): You can put this solution on YOUR website!
~~~~~~~
The time t that it takes to get to school varies inversely with your average speed s.
~~~~~~~
That says what it says and means just what it says.
You need a constant factor for variation. k.
part (a)
minutes and miles per hour.
So what is k value?
The equation you want to use is then become .
part (b)
Just use the same equation but now know that .
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
In the problem, speeds are in miles per hour and times are in minutes.
In general, you can get into all kinds of trouble if you work a problem with mixed units. It would be better mathematics if you change miles per hour to miles per minute, or change minutes to hours.
However, in this simple problem, working with mixed units is okay.
The way the problem is posed, you are apparently supposed to use the result from part (a) to find the answer to part (b).
However, finding the answer to part (b) is trivial if you use the fact that, because of the inverse variation (using mixed units!), the product of the speed in miles per hour and the time in minutes is constant:
30mph * 40 minutes = 40mph * x minutes
30*40 = 40*x
Trivially, the answer is 30 (minutes)
Answer by ikleyn(52813) (Show Source): You can put this solution on YOUR website!
.
If you will solve such problems in moderate quantifies (let say, 1 - 2 - 3 tasks at a time),
then you can learn a formal approach to solving them.
This, however, will add practically nothing to the overall meaning and to the common sense.
But if you will solve such problems in excessive quantities (5 - 6 at a time),
then instead of acquiring common sense, you will observe the opposite process.
What I want to say is keeping a right balance/measure is important in order for
do not hurt yourself, because these tasks themselves have little content.
RELATED QUESTIONS
the time t that it takes to get to school varies inversely with your average speed v.... (answered by nyc_function)
The time "t" that it takes Hannah to bike to school varies inversely as her average... (answered by ankor@dixie-net.com,josgarithmetic)
The amount of time it takes a swimmer to swim a race varies inversely as the average... (answered by ankor@dixie-net.com)
The time to drive to Charlotte, NC varies inversely with your average speed. If it takes... (answered by Cromlix)
the time t required to drive a fixed distance varies inversely as the speed r it takes 5... (answered by lynnlo)
The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 (answered by jojo14344)
The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 (answered by nyc_function)
The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 (answered by stanbon)
Suppose that the amount of time it takes to build a highway varies directly with the... (answered by richwmiller,TimothyLamb)