Question

Armand and Jill are 247.5 miles apart, and driving toward each other. Armand is driving at a rate of 50 miles per hour and Jill is driving at a rate of 60 miles per hour.
Use the scenario and table to determine which statements are true.

Check all that apply.

Armand and Jill will each travel the same distance to meet.

Armand and Jill will travel the same amount of time to meet.

The equation used to find the time, t, it will take for them to meet is 50t + 60t = 247.5.

It will take 4.5 hours for them to meet.

Jill will travel 135 miles to meet Armand.

---

it was 

Armand and Jill will travel the same amount of time to meet.The equation used to find the time, t, it will take for them to meet is 50t + 60t = 247.5.
and
Jill will travel 135 miles to meet Armand. 

Answer 1

Answer:

The correct statements are:

• Armand and Jill will travel the same amount of time to meet.
• The equation used to find the time, t, it will take for them to meet is 50t + 60t = 247.5.
• Jill will travel 135 miles to meet Armand.

Step-by-step explanation:

It is given that:

Armand and Jill are 247.5 miles apart, and driving toward each other.

Armand is driving at a rate of 50 miles per hour.

and Jill is driving at a rate of 60 miles per hour.

Let they meet after t hours.

We know that Distance= Speed×Time

so distance covered by Armand=50t

and Distance covered by Jill=60t.

Now as they are travelling towards each other so:

50t+60t=247.5--------------(a)

1)

Armand and Jill will each travel the same distance to meet.

This statement is wrong as the value of 50t and 60t will be different for the same t.

2)

Armand and Jill will travel the same amount of time to meet.

This statement is true as they will meet at the same time.

3)

The equation used to find the time, t, it will take for them to meet is 50t + 60t = 247.5

This statement is correct.

4)

It will take 4.5 hours for them to meet.

We will find the value of t from equation (a) and check whether the value of t=4.5 or not.

As 50t+60t=247.5

⇒  110t=247.5

⇒  t=247.5/110=2.25

Hence it will take 2.25 hours for both of them to meet.

Hence, option 4 is incorrect.

5)

Jill will travel 135 miles to meet Armand.

The distance travel by Jill to meet Armand=60t

As t=2.25

⇒ 60t=60×2.25=135 miles.

Hence, option 5 is true.

Answer 2

Here, the equation would be: 50t + 60t = 247.5
They will take same time, as they started their journey at a time.
Value of t, = 247.5/110 = 2.25
So, Armand traveled = 2.25 * 50 = 112.5
Jill traveled = 2.25 * 60 = 135

According to all of that information, Your Answers would be Option B, C & E

Hope this helps!