Let's V the speed of the girl in step
v the speed of the escalator in step
L the length between ground and floor.
V*60+v*60=L ==> V+v=L/60
V*90-v*90=L ==> V-v=L/90
2V=L(3+2)/180
==>V=5L/360
Time to climb (in step) with v=0 (escalator standing still)
V*t=L==> t=L/V=L/(L*5/360)=72
The girl will count 72 steps.
Answer:
C.
Step-by-step explanation:
Consider graph of the parent function (red curve in attached diagram)
First, multiply it by -1 to get function
Then translate the graph of the function h(x) 1 unit down, then you'll get the function
The graph of the function f(x) is represented by the blue curve in attached diagram
<u>Answer:</u>
○ 1 hour 41 minutes or more
<u>Step-by-step explanation:</u>
We can make two equations that represent the total amount each plumber charges.
If represents the number of hours they work, then:
•Total charged by Plumber A =
• Total charged by Plumber B =
Now, if Plumber A is more expensive than Plumber B, then:
Total charged by Plumber A > Total charged by Plumber B
∴ >
Now all we have to do is solve for :
>
⇒
⇒
⇒
⇒
is equivalent to = 100 minutes, which is the same as 1h 40min.
This means if Plumber A works more than 1h 40min, they become more expensive than Plumber B.
More than 1h 40min is equivalent to '1 hour 41 minutes or more', therefore the first option is correct.
Answer:
7
Step-by-step explanation: