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tino4ka555 [31]
3 years ago
6

Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zac

h and after 7 hours they are 161 miles apart, how fast is each traveling?
Mathematics
2 answers:
Solnce55 [7]3 years ago
6 0

Answer:

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

Step-by-step explanation:

Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.

To find : How fast is each traveling?

Solution :

Let the speed of Zach is x mile per hour.

If Warren travels 7 mph faster than Zach

The speed of the Warren is x+7 miles per hour.

Zach and Warren both leave the coffee shop at the same time, but in opposite directions.

The distance covered is 161 miles in 7 hours.

We know, \text{Distnace}=\text{Speed}\times \text{Time}

Substitute,

161=(x+x+7)\times7

\frac{161}{7}=2x+7

23=2x+7

2x=23-7

2x=16

x=8

The speed of Warren is 8+7=15

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

galben [10]3 years ago
3 0

Answer: Speed of Zach = 16 mph

Sspeed of Warren = 16+7=23 mph

Step-by-step explanation:

Let x be the speed of Zach in mph , the speed of Warren will be x+7 mph.

Formula to find distance :-

\text{Distance=Speed * Time}

Then, distance covered by  Zach in 7 hours = x\times 7=7x

Distance covered by Warren =  7(x+7)

Then, according to the question, we have

7(x+7)=161\\\\\Rightarrow\ x+7=23\\\\\Rightarrow\ x=23-7=16

Hence, the speed of Zach = 16 mph

The speed of Warren = 16+7=23 mph

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