Two cyclists start at the same point and travel in opposite directions. one cyclist travels 10 km/ h slower than the other. if the two cyclists are 120 km apart after 2 hours, what is the rate of each cyclist?

A⇒35 km/hr

B⇒25 km/hr

Step-by-step explanation:

Let us call them cyclist A and B.

The rate of cyclist A will be x km/h

The rate of cyclist B will be (x-10) km/h

The total distance traveled= 120 km

Time taken =2 hours

Relative speed, since they are travelling in different directions, is arrived at by addition of their individual speeds = {x+ (x-10)}km/hr (2x-10)km/hr

Distance =speed × time

120km = (2x-10)km/hr×2

120=4x-20

4x=140

x= 35 km/hr⇒ speed for cyclist A

B⇒ (x-10) km/hr=35-10=25 km/hr

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (