Work out the percentage discount offered with the family ticket option
1 answer:
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Answer:
Speed of the plane in still air: .
Windspeed: .
Step-by-step explanation:
Assume that is the speed of the plane in still air, and that
is the speed of the wind.
- When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be
.
- When this plane is travelling in the same direction as the wind, the ground speed of this plane would be
.
The question states that when going against the wind (,) the plane travels
in
. Hence,
.
Similarly, since the plane travels in
when travelling in the same direction as the wind (
,)
.
Add the two equations to eliminate . Subtract the second equation from the first to eliminate
. Solve this system of equations for
and
:
and
.
Hence, the speed of this plane in still air would be , whereas the speed of the wind would be
.
Karmin will make $18.4 for working an hour after the increase.
Step-by-step explanation:
Step 1:
First, we need to determine how much Karmin made an hour.
Karmin's hourly rate
So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.
She will get a 15% increase in her hourly rate this month.
Step 2:
We need to determine how much 15% of $16 is.
15% of $16
So her 15% increase amounts to $2.4.
So the hourly rate for this month
So Karmin will make $18.4 for working 1 hour.