Question

Lucy took 3 hours to cover 2/3 of a journey. She covered the remaining 60 miles in 2 hours. What was the average speed for the whole journey?

Answer 1

The correct answer is 36 miles per hour

Step-by-step explanation:

To find the average speed, the first step is to find the total time and the total distance Lucy covered because the formula for average speed is the total distance divided into the total time.

Total Distance

It is known Lucy covered 2/3 of the total distance first, and then she completed the remaining distance (60 miles). According to this, the last distance or 60 miles represents 1/3 of the total distance.

`(2)/(3) + (1)/(3) = (3)/(3)` (Total distance)

Also, if 60 miles is equivalent to 1/3 this number can be used to find the total distance. In this case, just multiply 60 by 3 = 180 miles as 60 is one-third.

This means the total distance is 180 miles

Total Time

It is known the first part of this journey took 3 hours and the second took 2 hours. This means the total time was 5 hours (3 + 2 = 5)

Find the average speed

`Average speed =(Distance)/(time)`

`Average speed = (180 m)/(5 h)`

`Average speed = 36m/h`