Question

An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the driver works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles

Answer 1

Answer: Choice B) 22.5 miles

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To find that answer, we simply solve for m

m/(30-15) = m/(30+15) + 1
m/15 = m/45 + 1
45*m/15 = 45*(m/45 + 1) ... multiply both sides by the LCD to clear out fractions
3m = 45*(m/45) + 45*(1)
3m = m+45
3m-m = m+45-m
2m = 45
2m/2 = 45/2
m = 45/2 <--- answer as a fraction
m = 22.5 <--- answer in decimal form

Use a calculator or long division to convert from fraction to decimal form.