The speed of the walker and the biker will be 16.67 miles per hour and 25 miles per hour.
Speed is the distance that a particle or body travels in one hour. It has a scalar value. It is the time-to-distance ratio.
We know that the speed formula
Speed = Distance/Time
A biker’s speed is 1.5 times faster than a walker’s speed.
Let y be the speed of the biker and x be the speed of the walker. Then the equation is given as,
y = 1.5x
They begin going simultaneously from the same location in the same direction, and after 1.5 hours, there are 12.5 miles separating them.
y - x = 12.5 / 1.5
1.5x - x = 25/3
0.5x = 25/3
x = 16.67 miles per hour
Then the speed of the biker will be given as,
y = 1.5 (16.67)
y = 25 miles per hour
The speed of the walker and the biker will be 16.67 miles per hour and 25 miles per hour.
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Answer: Speed of walker and biker will be 16.67 miles per hour and 25 miles per hour respectively.
Step-by-Step explanation:
Leave the speed of a walker alone x
Let the speed of a biker be 1.5x
They are moving a similar way,
thus, their Relative speed will be
1.5x - x =0.5x
Time taken = 1.5 hours
Separation between them = 12.5 miles
As we probably am aware the equation for "Distance":
*Picture attached*
Consequently, the Speed of the walker be 16.67 miles every hour
Speed of biker be
1.5 times 16.67=25 miles per houe
The two possible values for c are 31 and 41
Step-by-step explanation:
Given Expression:
a + b = 8
To expand,
Multiply a x with (b x + 7) =
Multiply 2 with (b x + 7) = 2 b x +14
Now, combining the above, we get
When comparing both sides, we get
a b = 15, 7 a + 2 b = c
Now, substitute above value in a + b = 8. So,
Factorising above, we get the equation as
(b - 3) (b - 5) = 0
b = 3 and 5
If b = 3, then
If b = 5, then
If a = 3, b = 5
c =7 a + 2 b = 7 (3) + 2 (5) = 21 + 10 = 31
If a = 5, b = 3
c =7 (5) +2 (3) = 35 + 6 = 41
Therefore, the values of ‘c’ are 31 and 41.
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