Runner A is initially 6.0 mi west of a flagpole and is running with a constant velocity of 4.0 mi/h due east. Runner B is initially 4.0 mi east of the flagpole and is running with a constant velocity of 5.0 mi/h due west. How far are the runners from the flagpole when they meet?
R u sure it’s correct
Runner A is initially 2.2 km west of a flagpole and is running with a constant velocity of 4.0 km/h due east. Runner B is initially 7.2 km east of the flagpole and is running with a constant velocity of 2.4 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross?
To solve this problem, we need to find the time it takes for the runners to meet and then calculate their distances from the flagpole at that time.
Let's start by finding the time it takes for the runners to meet. We know that Runner A is initially 6.0 miles west of the flagpole and Runner B is initially 4.0 miles east of the flagpole. Since they are moving towards each other, their combined displacement is the sum of their initial distances from the flagpole:
Combined displacement = 6.0 miles + 4.0 miles = 10.0 miles
Next, we need to calculate their relative velocity, which is the sum of their individual velocities:
Relative velocity = 4.0 miles/h (east) + 5.0 miles/h (west) = -1.0 miles/h
The negative sign indicates that the runners are moving towards each other.
Now, we can use the equation: Distance = Speed × Time, to find the time it takes for the runners to meet:
Time = Distance / Speed
Time = 10.0 miles / 1.0 mile/h = 10.0 hours
The runners will meet after 10.0 hours.
Finally, we can calculate their distances from the flagpole at that time. Runner A runs with a velocity of 4.0 miles/h due east for 10.0 hours:
Distance of Runner A = Speed × Time
Distance of Runner A = 4.0 miles/h × 10.0 hours = 40.0 miles
Since Runner A is initially 6.0 miles west of the flagpole, the distance from the flagpole when they meet is:
Distance from flagpole = Distance of Runner A - Initial distance
Distance from flagpole = 40.0 miles - 6.0 miles = 34.0 miles
Therefore, when they meet, Runner A is 34.0 miles east of the flagpole, and Runner B is 4.0 miles west of the flagpole.
The first question is when do they meet?
distance apart 8mi
relative velocity is 9mi/hr
time= distance/velocity= 8/9 hr
how far did B go?
distance= 5mi/hr*8/9 hr= 40/9 mi
so they met (40/9-4) miles West of the flagpole.