Question

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, how fast is each traveling?

Answer 1

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.

Answer 2

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