Question

Beth left school driving toward the lake one hour before tim. tim drove in the opposite direction going 6 mph slower than beth for one hour after which time they were 174 miles apart. what was beths speed? and please explain thoroughly and take me through the process.

Answer 1

Beth's speed was 60 mph.

What is speed?

• The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
• The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
• Velocity is not the same as speed.

To find what was Beth's speed:

Beth's data:

• time = 2 hrs; rate = r mph; distance = r×t = 2r miles

Tim's data:

• time = 1 hr; rate = r-6 mph; distance = r-6 miles

Equation:

• distance + distance = 174 miles

So,

• 2r + r - 6 = 174
• 3r - 6 = 174
• 3r = 180
• r = 60 mph (Beth's rate)
• r-6 = 54 mph (Tims's rate)

Therefore, Beth's speed was 60 mph.

Know more about speed here:

https://brainly.com/question/4931057

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