Can you help me ans this question.....
A car travels for x hours at a speed of (x+2)km/h. if the distance travelled is 15km, write an equation for x and solve it to find the speed of the car.
While your at it,
i have a huge problem on answering these type of questions, can you tell me some advice or tips when asked these questions
Thanks
^^
A car travels for x hours at a speed of (x+2)km/h. if the distance travelled is 15km, write an equation for x and solve it to find the speed of the car.
While your at it,
i have a huge problem on answering these type of questions, can you tell me some advice or tips when asked these questions
Thanks
^^
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Start with the definition of speed: distance divided by time. Then plug in what you've got and solve the algebra problem.
Speed = Distance/Time
Distance = 15 km
Time = x hours
Speed = (x + 2) km/h
x + 2 = 15/x
Multiply both sides by x to clear the fraction.
x(x + 2) = 15
Simplify
x^2 + 2x = 15
x^2 + 2x - 15 = 0
Factor using FOIL.
(x + 5)(x - 3) = 0
There are two algebraic solutions for x, but since it stands for time, only the positive solution is relevant.
x = 3 hr.
Go back and solve for speed.
Speed = (x + 2) km/hr.
Speed = 3 + 2 = 5 km/hr
Speed = Distance/Time
Distance = 15 km
Time = x hours
Speed = (x + 2) km/h
x + 2 = 15/x
Multiply both sides by x to clear the fraction.
x(x + 2) = 15
Simplify
x^2 + 2x = 15
x^2 + 2x - 15 = 0
Factor using FOIL.
(x + 5)(x - 3) = 0
There are two algebraic solutions for x, but since it stands for time, only the positive solution is relevant.
x = 3 hr.
Go back and solve for speed.
Speed = (x + 2) km/hr.
Speed = 3 + 2 = 5 km/hr
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Time*Speed = Distance
X = Time
X + 2 = Speed
Y = Distance
X*(X+2) = Y (Distance)
X^2 + 2x = Y (Distance)
Distance = 15km
so
X^2 + 2x = 15
OR
X^2 + 2x - 15 = 0
(for that quadratic formula i think)
Hopefully this points you in the right direction.
X = Time
X + 2 = Speed
Y = Distance
X*(X+2) = Y (Distance)
X^2 + 2x = Y (Distance)
Distance = 15km
so
X^2 + 2x = 15
OR
X^2 + 2x - 15 = 0
(for that quadratic formula i think)
Hopefully this points you in the right direction.