You and your friend are having a race, but since you are faster than him, you decide to give him a head start. He starts 10m in front of the starting line while you start on the starting line. You run at 6 meters/second, while your friend runs at 5.5 meters/second. After how many seconds will you and your friend be same distance from the starting line? seconds months

Respuesta :

Answer:

20 seconds

Step-by-step explanation:

Your friend starts 10 meters in front of the starting line.

You start from the starting line.

You run at 6 meters/ second.

Your friend runs at 5.5 meters/second.

You and your friend will be at the same distance from the starting line only when you are able to catch your friend.

The relative speed between you two is the difference in your speed and your friend's speed that is:

[tex]6-5.5=0.5m/s[/tex]

So to cover 10 meters of separation at the speed of 0.5 meter/second it will take:

[tex]t=\frac{10}{0.5}= \frac{100}{5}=20s[/tex]

So it will take 20 seconds for you and your friend to be at the same distance from the starting line.  

Answer:

20 seconds is correct.

Step-by-step explanation: