The distance from City A to City B is 60 miles.

The distance from City A to City B is 60 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?

Quiz

Answer/Solution

60

Steps/Work

The time it takes Bob to drive to City B is 60 / 40 = 1.5 hours.
Alice needs to take less than 1 hour for the trip.
Alice needs to exceed a constant speed of 60 / 1 = 60 miles per hour.
The answer is E.

Physics Calculator / Auto Solver

The distance from city a to city b is miles. While driving from city a to city b, bob drives at a constant speed of miles per hour. Alice leaves city a minutes after bob. What is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob?

Calculated Answer

60

Step by Step Solution

In order to solve problem, you must evaluate n0 / (n0 / n1 - n2 / 60).

n0 =60
n1 =40
n2 =30