Officer Aptitude Rating (OAR) PracticeTest

If Jonah completes a trip of 240 miles at the rate of 30 mph, what rate must he travel on the return trip to average 40 mph for the round trip?

1. 50 mph

2. 55 mph

3. 60 mph

4. 65 mph

The correct answer is: 60 mph

To determine the rate Jonah must travel on the return trip to achieve an average speed of 40 mph for the entire round trip, we first need to find the total distance and the total time for the round trip. 1. Calculate the total distance for the round trip: - The distance to the destination is 240 miles, and the return distance is also 240 miles. - Therefore, the total distance is \( 240 miles + 240 miles = 480 miles \). 2. Calculate the total time desired to achieve an average speed of 40 mph for the 480 miles: - Average speed is defined as total distance divided by total time. - To find the total time for the round trip at an average speed of 40 mph, we use the formula: \[ \text{Total Time} = \frac{\text{Total Distance}}{\text{Average Speed}} = \frac{480 \text{ miles}}{40 \text{ mph}} = 12 \text{ hours} \] 3. Calculate the time taken for the outgoing trip: - Jonah traveled 240 miles at 30 mph, which takes: \[ \text{Time for outgoing trip}