Question

A car travels for x hours at a speed of
(x + 2) km/h. If the distance travelled is
15 km, write down an equation for x and
solve it to find the speed of the car.​

Answer 1

Answer:

speed=5

Step-by-step explanation:

Hey this is your answer!!

Given,

As the car travels x km

in (x+2) speed in distance=15 km

Solution,

speed= $\frac{distance}{time}$

then = x+2= 15/x

=x(x+2)= 15

=$x^{2}$+2x-15=0          ( 2x= 5x-3x )

=x(x+5)-3(x+5)

= hence, x=3 and x=-5

x cant be 5 as it is negative

speed= (x+2)

=(3+2)

=5

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Answer 2

Given: A car travels for x hours at a speed of (x + 2) km/h.

To find: Value of x and speed of the car

Solution: Let the distance travelled be s, time be t and velocity be v.

s= 15 km

t= x hours

v= (x+2) km/h

The distance travelled by the body is equal to the product of speed of the body and the time taken to travel the distance.

Distance= Speed× Time

=> s = v × t

=> 15 = (x+2) x

$= > 15 = {x}^{2} + 2x$

$= > {x}^{2} + 2x - 15 = 0$

$= > {x}^{2} + 5x - 3x - 15 = 0$

$= > x(x + 5) - 3(x + 5) = 0$

=> (x+5) (x-3)= 0

=> x+5 = 0 or x-3 = 0

=> x = -5 or x = 3

The value of time cannot be negative. Therefore, x = 3

Speed of car

= x+2

= (3+2) km/h

= 5 km/h

Therefore, the value of x is 3 and speed of the car is 5 km/h.