Al goes 8 mph; Ben goes 22 mph in the opposite direction. How many hours has Ben traveled when they are 180 miles apart?

A. 15
B. 6
C. 12.86

Question

Al goes 8 mph; Ben goes 22 mph in the opposite direction. How many hours has Ben traveled when they are 180 miles apart?

A. 15 
B. 6
C. 12.86

mathstudent55 · Answer

$speed = \dfrac{distance}{time} $

$distance = speed \cdot time$

They both traveled the same time, t.

Using the second equation, what distance did each one travel in t time?

leann01xxx · Answer

I have no idea. I failed this lesson of algebra.

pawanyadav · Answer

Ben velocity relative to All =22-(-8)mph=30mph
 Due opposite direction
Now  time taken =180÷30hour=6hour

pawanyadav · Answer

This is solved by Physics

leann01xxx · Answer

So then is it C?

rhystic · Answer

They both travelled for the same amount of time and reached a total distance of 180 miles. thus utilizing distance = speed*time you have distance = speed1*time+speed2*time   let time =x and you have distance = speed1x + speed2x.  or 180= 8x + 22x or 180 = 30x . solve for x and you have your time in hours.

mathstudent55 · Answer

Al goes 8 mph
d1 = 8x

Ben goes 22 mph in the opposite direction
d2 = 22x

The total distance traveled is d1 + d2, but we are told that is 180 miles, so

8x + 22x = 180
30x = 180
x = 6
Answer: 6 hours