Question

Starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10 mph. He then traveled back home along the same path downhill at a speed of 30 mph. What is his average speed for the entire trip from home to the gift store and back?

Answer 1

single journey = 0.5*10 = 5 miles
goung back time = 5 / 30 = 1/6 of an hour

average
speed foe whole journey = 10 / (1/2 + 1/6) = 10 * 3 / 2 = 15 mph

Answer 2

The average speed of Omar for the entire trip from home to the gift store and back is 15 mph.

Explanation:

It is given that Omar traveled uphill to the gift store for 30 minutes at just 10 mph.

1 hour = 60 minutes

0.5 hours = 30 minutes

Total distance between home to gift store is

`Distance=0.5* 10=5`

The distance between home to gift store is 5 miles.

Time taken by Omar along the same path downhill at a speed of 30 mph is

`(5)/(30)=(1)/(6)hours`

Total distance of the entire trip from home to the gift store and back is

`2* 5=10miles`

Formula for average speed is

`Speed=\frac{\text{Total distance}}{\text{Total time}}`

`Speed=(10)/(0.5+(1)/(6))`

`Speed=(10)/((4)/(6))`

`Speed=15`

Therefore the average speed of Omar for the entire trip from home to the gift store and back is 15 mph.