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

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed