Question

Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s, and Betty has a speed of 2.0 m/s. How long does it take for them to meet?

a) 20 seconds
b) 25 seconds
c) 30 seconds
d) 40 seconds

Answer 1

Arthur and Betty will meet in 20 seconds when they approach each other from 100 meters apart at speeds of 3.0 m/s and 2.0 m/s, respectively. Option A is correct.

Step-by-step explanation:

The question is asking how long it will take for Arthur and Betty to meet if they start walking toward each other from 100 meters apart, with Arthur moving at 3.0 m/s and Betty moving at 2.0 m/s. To solve this, we can calculate the combined speed at which they are approaching each other by adding their individual speeds together:

Speed of Arthur + Speed of Betty = Combined Speed

3.0 m/s + 2.0 m/s = 5.0 m/s

Now, to find the time it takes for them to meet, we divide the distance by the combined speed:

Distance / Combined Speed = Time

100 m / 5.0 m/s = 20 s

Therefore, it will take them 20 seconds to meet, which corresponds to option a).

To find the time it takes for Arthur and Betty to meet, we can use the formula time = distance / relative speed. In this case, the distance is 100 m and the relative speed is the sum of their individual speeds, which is 3.0 m/s + 2.0 m/s = 5.0 m/s.

Therefore, the time it takes for them to meet is time = 100 m / 5.0 m/s = 20 seconds. So the correct answer is a) 20 seconds.