John and Elijah are both driving from New York City to Richmond. John leaves
at 7:20 and averages 60 mph (miles per hour) on the way. Elijah leaves at 7:30
and averages 62 mph on the way. The situation is modeled by this system,
where x is the number of hours after Elijah leaves and y is the distance each
will travel.
y = 60x+10
y = 62x
How long after Elijah leaves will he pass John, and how far will they each
have traveled?
OA. Elijah will pass John after 4 hours, and they each will have traveled
248 miles.
OB. Elijah will not pass John, because he will never catch up with him.
C. Elijah will pass John after 5 hours, and they each will have traveled
310 miles.
D. Elijah will pass John after 2 hours, and they each will have traveled
128 miles.
2
5-

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

2x = 10

x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

More about the speed link is given below.

https://brainly.com/question/7359669

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