Bradd stands 6km west of a flagpole, and runs towards it with a speed of 9km/h. Pitt stands 5km east of the flagpole, and runs towards it with a speed of 8km/h. At what displacement from the flagpole are they when they meet?

Respuesta :

Answer:

176 m west of the flagpole.

Explanation:

In exact and precise interpretation of the question the answer is 0 m as they would both crash into the pole when they got there and presumably stop having suffered broken noses and serious groin injuries.

However my GUESS as to the intent of the question is that the first to reach it will sidestep the flagpole slightly and continue on their current path until they meet and slap a high five as they pass one another.

In that case, they have 6 + 5 = 11 km to traverse at a closing rate of 9 + 8 = 17 km/hr.

They will meet in 11 km / 17 km/hr = 0.647 hrs

Bradd will have covered 9 km/hr(0.647 hr) = 5.823 km

meaning that they will be 6 - 5.823 = 0.176 km or 176 m west of the flagpole.

Pitt will have covered 8 km/hr(0.647 hr) = 5.176 km

meaning they will be 5 - 5.176 = - 0.176 km east which equals 0.176 km west of the flagpole