Answer:
Speed of car A = 40 mph
Speed of car B = 50 mph
Step-by-step explanation:
Given:
Distance travelled by car A = 120 miles
Distance travelled by car B = 120 miles
To Find:
speed of each car = ?
Solution:
Let the speed of car A be x
then speed of car B is (x +10)
The Time taken for each car is same
Time taken for car A = Time taken for car B
We know that time = 
Time taken for car A
=> 
---------------------------(1)
Similarly
Time taken for car B
=> 
-----------------------(2)
Equating (1) and (2), we get
=
120x + 1200 = 150x
1200 = 150x-120 x
1200 = 30x
x= 40
Speed of car A = 40mph
Speed of car B = (x+10) = (x+40) = 50mph
For x/2 to be greater than or equal to 10, you must try out a few numbers.
If x = 20...
x/2 greater than or equal to 10
= 20/2 greater than or equal to 10
= 10 greater than or equal to 10.
So the answer for x is:
x = 20 or more
Hope this helps!!!
Answer:
2, 4
Step-by-step explanation:
Let there are two unknown consecutive pairs of even integers 2n and 2n+2.
If the sum of the reciprocals of those two integers is 3/4, then we can write,
1/2n +1/(2n+2) =3/4 ...... (1)
Solving this above equation we can check whether the integers exist or not.
Now, from equation (1) we get,
1/n +1/(n+1) =3/2
⇒
⇒4n +2 =3n²+3n
⇒3n²-n-2 =0
⇒ (n-1)(3n+2) =0
⇒ (n-1) =0 {Since if (3n+2) =0 then, n will be a negative fraction, which is not possible}
⇒ n=1
∴ 2n =2 and 2n+2 =4
Hence, the two integers are 2, 4. (Answer)
Answer:
14
Step-by-step explanation:
2 times 7 equals 14 plus 2
I think this is inconsistent because I got "y" by itself in both equations and not the slope nor the base number matched.
