Aja and pete are biking on a trail.
aja begins 2 miles ahead of pete and bikes at an average speed of 3 miles per hour.
pete bikes at an average speed of 4 miles per hour.

how much time will it take for pete to catch up with aja on the trail?

2 hours

Step-by-step explanation:

Given in the question that,

speed of Aja = 3 miles/h

speed of Pete  = 4 miles/h

we know that Aja is 2 miles away from Pete  

Both will have covered same distance at the time they will catch up.

suppose time = x

               distance covered = y

Formula to use

distance = speed x time

Equation 1

3x  = y - 2

3x + 2 = y

Equation 2

4x = y

Equate both equation

3x + 2 = 4x

2 = 4x -3x

2 = x

Pete will catch up Aja after 2 hours

Step-by-step explanation:

We can represent thsi problem as as system of equations.

Let

x =  be the time in which both Aja and Pete starte biking, (in hours)

y = the number of miles traveled by each

Aja begins 2 miles ahead of Pete and bikes at an average speed of 3 miles per hour. This means

y_Aja =  3*x + 2

Pete bikes at an average speed of 4 miles per hour.

y_Pete =  4*x

Then, we can find the intersection point between the graphs, so we find the solution.

Please see attached picture below

Pete will catch up Aja after 2 hours

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

my answer is$ 12

step-by-step explanation:

because 15 -2=12