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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-

Sagot :

Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

What is speed?

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

#SPJ1

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