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erastovalidia [21]
2 years ago
6

A car traveled 25 miles of a 200 mile trip to its destination. The car travels at a speed of 35 miles per hour. How many hours u

ntil the car reaches its destination? Respond to the two questions below and show all work.
Mathematics
1 answer:
Luden [163]2 years ago
3 0

Answer: 5 hours

Step-by-step explanation:

The car has already travelled 25 miles into the 200 miles that it is meant to travel.

The distance left is therefore:

= 200 - 25

= 175 miles

The car is travelling at 35 miles per hour.

The time left for travel is:

= Distance /  Speed

= 175 / 35

= 5 hours

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Cary is 7 years older than Dan. In 7 years the sum of their ages will be 79. Find the age of each man now.
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Answer:

Dan is 29. Cary is 36.

Step-by-step explanation:

Let Dan's age now be D.

Let Cary's age now be C.

"Cary is 7 years older than Dan."

C = D + 7

"In 7 years the sum of their ages will be 79. "

In 7 years, the ages of Dan and Cary will be D + 7 and C + 7, respectively.

D + 7 + C + 7 = 79

C + D + 14 = 79

C + D = 65

C = D + 7

The last two equations in bold above form a system of equations. Since the second equation is already solved for C, we use the substitution method.

D + 7 + D = 65

2D + 7 = 65

2D = 58

D = 29

C = D + 7

C = 29 + 7

C = 36

Answer: Dan is 29. Cary is 36.

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