Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o
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Given:
A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.
Total distance travelled is 90 km.
To find:
The value of x.
Solution:
We know that,
A man walks for x hours at a speed of (x + 1) km/h, so walking distance is
km
The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is
km
Now,
Total distance = 90 km
Time cannot be negative. So, the only possible value of x is 5.
Answer:
Solution → (3, -1)
Step-by-step explanation:
We ave to identify the graph representing the system of lines first.
y =
Y-intercept of the line = -3
y = -2x + 5
y-intercept of the line = 5
From the given graphs 3rd (extreme right) graph is representing the system of equations.
Solution of the system of equations will be the point of intersection of these lines.
Solution of the system → (3, -1)