Sam and Daniel are playing tag. Sam is originally 40 feet away from Daniel. Sam’s speed is 140 feet per minute; Daniel’s speed is 120 feet per minute. Will Sam tag Daniel? If yes, how long will it take?

Respuesta :

Answer:

Yes, Sam will tag Daniel as he is faster.

It will take Sam 2 minutes to tag Daniel.

Step-by-step explanation:

Distance between Sam and Daniel = S = 40 feet

As they are playing tag and Sam is the one to tag Daniel. Sam's speed must be more than that of Daniel.

Daniel is running away at a speed of 120 ft/minute while Sam is running towards Daniel at a speed of 140 ft/minute.

It means Sam will tag Daniel.

Calculating time:

The relative speed is = Sam's speed - Daniel's speed

v = 140 - 120 = 20ft/minute

t = S/v = 40/20

Time to tag Daniel = 2 minutes