Abus traveled on a level road for 4 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. the time spent on the winding road was 5 hours. find the average speed on the level road if the entire trip was 449 miles.

To solve this problem, we must recall that the formula for velocity assuming linear motion:

v = d / t

Where,

v = velocity

d = distance

t = time

For condition 1: bus travelling on a level road

v1 = d1 / t1

(v2 + 20) = (449 – d2) / 4                        --->1

For condition 2: bus travelling on a winding road

v2 = d2 / t2

v2 = d2 / 5                                            --->2

Combining equations 1 and 2:

(d2 / 5) + 20 = (449 – d2) / 4

0.8 d2 + 80 = 449 – d2

1.8 d2 = 369

d2 = 205 miles

Using equation 2, find for v2:

v2 = 205 / 5

v2 = 41 mph

Since v1 = v2 + 20

v1 = 41 + 20

v1 = 61 mph

Therefore the average speed on the level road is 61 mph.

d

step-by-step explanation:

d

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions