Respuesta :
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, [tex]\text{Distnace}=\text{Speed}\times \text{Time}[/tex]
Substitute,
[tex]161=(x+x+7)\times7[/tex]
[tex]\frac{161}{7}=2x+7[/tex]
[tex]23=2x+7[/tex]
[tex]2x=23-7[/tex]
[tex]2x=16[/tex]
[tex]x=8[/tex]
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: 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 :-
[tex]\text{Distance=Speed * Time}[/tex]
Then, distance covered by Zach in 7 hours = [tex]x\times 7=7x[/tex]
Distance covered by Warren = [tex]7(x+7)[/tex]
Then, according to the question, we have
[tex]7(x+7)=161\\\\\Rightarrow\ x+7=23\\\\\Rightarrow\ x=23-7=16[/tex]
Hence, the speed of Zach = 16 mph
The speed of Warren = 16+7=23 mph
