Question

If joe drives 30 mph for 0.5 hours and then 80 mph for 2 hrs, then how far did he drive?

Answer 1

Answer: 175 miles

Explanation:

Formula for distance :
`\text{Distance=Speed x Time}`

Let v denotes the speed ,t denotes the time and d denotes the distance.

According to the given statement , we have

`v_1=30\ mph`
`t_1=0.5\ hours`

`v_2=80 mph`
`t_2=2\ hours`

Then,
`d_1=v_1 t_1\ \ \ \ d_2=v_2t_2`

Substitute values,

`d_1=30*0.5\ \ \ \ d_2=80*2`

Simplify,

`d_1=15\ miles\ \ \ \ d_2=160\ miles`

Now , the total distance =
`d_1+d_2`

`=15+160=175\ miles`

Hence , he drove 175 miles.

Answer 2

30 mph for 0.5 hrs = 15 miles

80 mph for 2 hours = 160 miles

160 +15 = 175 miles total