Answer:
Step-by-step explanation:
The order in which they are asking you to answer this is a backwards, I think. Here's what I did.
This is a distance = rate x time problem. I made a table and put the values into in AFTER I changed the rates from feet second to feet per minute (since our total time was given in minutes. You can't use seconds and minutes in the same equation because they are not like.)
d = r x time
there
back
Now we have to put some values in there:
d = r time
there d = 1200 t
back d = 720 21 - t
Since the distances are the same, we can set them equal to each other in terms of the time:
1200t = 720(21 - t) and distribute through the parenthesis:
1200t = 15120 - 720t. We add the 720t to both sides:
1920t = 15120 and divide by 1920:
t = 8.875 minutes
To find the distance between the hive and the flowers, we can use either equation (we will anyway to check that the distance is the same going back to the hive as it was going to the hive).
The distance to the hive gave us the equation d = 1200t. If time is 7.875, then we multiply the rate times the time to get the distance.
d = 1200(7.875) so
d = 9450 feet
We will use the time found to see if the distance back to the hive comes out to be the same 9450 feet as it was to get there:
d = 720(21 - t) and filling in 7.875 for t:
d = 720(21 - 7.875) and
d = 720(13.125) so
d = 9450 feet
The distance is the same going to the flowers as it is going back to the hive from the flowers.
answer for a: use the distance formula
b. the hive is 9450 feet from the flowers
c. 1200t = 15120 - 720t
