Question

9) You can calculate how fast the two cities are moving toward each

other by adding up the absolute value of their speeds. Based on the
distance that you calculated in the previous question, and the
speed at which the two cities are moving toward each other, how
many years will it take for Santa Cruz and Santa Rosa to "meet"?
Remember that Speed= Distance/Time. Note that 25.4 mm = 1
inch, 12 inches = 1 foot, 5280 feet = 1 mile, 1 mile = 1.61 kilometers
(round your answer to the nearest whole number).

Answer 1

Rounded to the nearest whole number, it will take 0 years for Santa Cruz and Santa Rosa to "meet."

Explanation:

First, we need to convert the distance from millimeters to miles.

Distance = 25.4 mm x 30 feet x 300 miles = 228,600,000 mm

Distance in miles = 228,600,000 mm ÷ (25.4 mm/in) ÷ (12 in/ft) ÷ 5280 ft/mi

Distance in miles = 142.08 miles

Now we can use the formula:

Speed = Distance/Time

We know that the speed of Santa Cruz is 55 mph and the speed of Santa Rosa is 65 mph.

Speed = 55 mph + 65 mph = 120 mph

So, it will take:

Time = Distance/Speed

Time = 142.08 miles/120 mph

Time = 1.18 hours

We need to convert hours to years:

Time = 1.18 hours x (1 day/24 hours) x (1 year/365 days)

Time = 0.000136 years

Rounded to the nearest whole number, it will take 0 years for Santa Cruz and Santa Rosa to "meet."