Answer:
5 hours
Step-by-step explanation:
given :
Distance between the cities = 540 miles
Speed of motorcycle =48 mph
TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :
By putting given values in the formula we get :
= 11.25 hours
Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle
⇒ 11.25 hours - 2.25 hours
⇒ 9 hours
Thus , Time taken by car to cover the same distance is 9 hours .
Now to calculate speed of car by using formula:
= 60 mph
Let t be the time taken to meet if they start moving towards each other.
So distance covered by motorcycle in t hours is
speed\times time
= 48t miles
Distance covered by car in t hours is
speed\times time
= 60t miles
⇒ 60t + 48t =540
⇒ 108t = 540
⇒ t= 5 hours
Therefore, time taken to meet if they start moving towards each other is 5 hours.
Answer:
C. Infinite Solutions
Step-by-step explanation:
In order to solve this we fist have to simplify the equation so we do the following:
From here we know that any value of n is the solution of this equation so the answer is option C.
Answer:
y = -1/3 x + 32/3
Step-by-step explanation:
Find an equation of line L
Given the equation bog L1 as y ,= 3x-4
The slope of the line L1 is 3
Since both lines are perpendicular, the product of their slope is -1, hence ;
LL1 =-1
3L = -1
L = -1/3
Slope of the required line is -1/3
Get the equation in point lope form
y-y0 = m(x-x0)
y-9 = -1/3(x-5)
3(y-9) = -(x-5)
3y-27 = -x+5
3y = -x+5+27
3y = -x+32
y = -1/3 x + 32/3
This gives the required equation