X = cups of tea per hour
y = cups of coffee per hour
David makes 30 cups of tea per hour = 30x
David works for D hours this week.
Therefore number of weekly cups of tea = number of hours * cups of tea per hour
This is 30x * D = 30Dx
For Andrew, it is similar
30Ay
Because Andrew made an additional 10 cups, then it is 30Ay + 10
(cups of coffee this week)
Call the angles of depression D.
then tan(D)=20/30, or I
arctan(tan(D)) = arctan(⅔)
D=33.690. A is the answer
your calculator probably uses tan^-1 rather than arctan
Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier
:
Now, to find the distance from Boston to Worcester, we are going to use the distance formula:
where
is the distance
is the speed
is the time
We know that the speed of Mr. Peter is
and his time is 30 minutes. Lets replace those values in our formula:
Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:
We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:
But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>
We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
16+ 44 so I =60 hdndmoaoaoajebdbvdjjssksk