Two cyclists start at the same point and travel in opposite directions. one cyclist travels 10 mih slower than the other. if the two cyclists are 104 miles apart after 4 hours, what is the rate of each cyclist?

The speed of slower cyclist is 8 miles per hour

The speed of faster cyclist is 18 miles per hour

Solution:

One cyclist travels 10 min slower than the other

Let "x" be the speed of slower cyclist

Then, x + 10 is the speed of faster cyclist

The distance is given by formula:

Distance of slower cyclist =

Distance of slower cyclist = 4x

Distance of faster cyclist =

The two cyclists are 104 miles apart after 4 hours

4x + 4x + 40 = 104

8x + 40 = 104

8x = 104 - 40

8x = 64

x = 8

Thus rate of each cyclist is:

speed of slower cyclist = x = 8 miles per hour

speed of faster cyclist = x + 10 = 8 + 10 = 18 miles per hour

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.