Question

PLZ HELP! 15 POINTS!

Amy and Chris took different routes to travel from Point A to Point E. Amy took the route along A, B, C, D, and E and reached the destination in 2 hours. Chris took the route along A, G, F, and E and reached the destination in 3 hours. Their routes are shown.

Which conclusion is correct?

Amy's average speed is twice Chris's average speed.
Chris's average speed is twice Amy's average speed.
Amy's average speed is equal to Chris's average speed.
Chris's average speed is three times Amy's average speed.

Answer 1

Amy's average speed is equal to Chris's average speed.

Step-by-step explanation:

Average speed is the ratio of total distance and total time interval

So here for Amy we know that

`total distance = 3 + 2 + 1 + 4`

`d_1 = 10 units`

now the average speed of Amy is given as

`v = (d)/(t)`

`v = (10)/(2)`

`v = 5 units/hour`

Similarly for Chris we will have

`distance = 10 + 3 + 2`

`time = 3 hour`

average speed =
`(15)/(3)`

`v = 5 units/hour`

so correct answer is

Amy's average speed is equal to Chris's average speed.