Question

Alberto ran a race at a speed of 9 meters per second. Omar had a 6 meter head start and ran at a speed of 7 meters per second. Both started running at the same time. How many seconds did it take Alberto to catch up to Omar and how far had Alberto run?

Answer 1

it takes 3 secounds to get cougt up and 27 meters is how much he ran

Explanation:

Answer 2

Answer: Alberto run 27 meters.

Time taken By Alberto=3 seconds

Explanation:

Let d be the distance Alberto ran to catch Omar.

Then, distance ran by Omar=x-6

Also,
`\text{Time}=\frac{\text{Distance}}{\text{Speed}}`

Since, both started running at the same time.

Time taken By Alberto=
`(x)/(9)`

Time taken By Omar=
`(x-6)/(7)`

Now, at the point they meet time taken by both is equal.

`(x)/(9)=(x-6)/(7)\\\Rightarrow\ 7x=9(x-6)\\\Rightarrow7x=9x-54\\\Rightarrow9x-7x=54\\\Rightarrow\ 2x=54\\\Rightarrow\ x=27`

Hence, Alberto run 27 meters.

Time taken By Alberto=
`(27)/(9)`=3 seconds