Question

PLEASE HELP I CANT FAIL
Miguel bikes 25 km per hour and starts at mile 10 gabby bikes 30 km per hour and starts at mile 0 at what time and distance will gabby catch up with Miguel
choose two answers one fore the system of equations that represents this situation and one for the answer to the question
A) Miguel: d=25t+10
gabby: d=30t
B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles
C) gabby will catch up with Miguel in 1.25 at a distance of 37.5 miles
D) Miguel: d=10t+25
gabby: d= 30t

Answer 1

Answer:

A) Miguel: d=25t+10

gabby: d=30t

B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles

Step-by-step explanation:

Lets start of with the equation:

There is 2 possible equations we can use for this:

1. A) Miguel: d=25t+10  gabby: d=30t     OR

1. D) Miguel: d=10t+25  gabby: d= 30t

The resonable response for this would be A because Miguel starts off with 10 miles so you would add 10 to your equation so response D is incorrect because you are not multiplying 10t, but rather 25t.

Now let's do the actual answer

There is 2 possible answer for this:

1. B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles
2. C) gabby will catch up with Miguel in 1.25 at a distance of 37.5 miles

The response that would make the most sense would be B. Let me explain

We are going to be using response C for now. You would have to multiply Miguel: 25(1.25) + 10

31.25 + 10

=41.25

Gabby: 30(1.25)

= 37.50

Miguel is still ahead of Gabby so Answer C is incorrect

We are going to be using response B now. You would have to multiply

Miguel: 25(2) + 10

50 + 10

=60

Gabby: 30(2)

=60

Now they are both the same mile so this would mean Answer B is correct

plz give brainliest :'D