Answer:
They meet each other at a distance of 85.71 m far from the restaurant. Both A and B takes 39.86 seconds and 31.16 seconds respectively to reach the restaurant after they meet each other.
Explanation:
The relationship between speed, time and distance is [tex]\text { speed }=\frac{\text { distance }}{\text { time }}[/tex] To find how far away from the restaurant will they meet, calculate the time taken to meet each other. [tex]time}=\frac{\text {total distance}}{\text {relative speed }}[/tex]
Total distance between A and B = 700 m and relative speed when travelling in opposite direction = speed of A + speed of B = 2.15+2.75 = 4.9 m⁄s. [tex]ti m e=\frac{700}{4.9}[/tex] = 142.85 seconds.
A and B are far from restaurant is known by subtracting the distance covered by A and B in 142.85 seconds. By using the formula speed= distance/time That is distance travelled by A in 142.85 seconds is 307.12 m and the distance travelled by B in 142.85 seconds is 392.83 m. Distance between restaurant and persons A and B = 392.83 – 307.12 = 85.71 m. Time taken by A to reach restaurant is 39.86 seconds and time taken by B to reach restaurant is 31.16 seconds.
