Question

two boys start running from two points a and b which are 150 m apart. boy from point A
runs with a speed of 7m/s and a boy from runs with 8m/s. when and where do they meet each other from point a

Answer 1

Let A and B are two bodies start moving each other . speed of body A is 5m/sec and speed of body B is 7m/sec .

Let at point C , they meet each other and t is meeting time .

A===========C =============B

we know ,

distance = speed × time

distance covered by A = 5 × t = 5t m

distance covered by B = 7 × t = 7t m

for they meet each other condition is

distance covered by A + distance covered by B = intial distance between A and B

5t + 7t = 120 m

12t = 120 m

t = 10 sec

hence, bodies meet each other at t = 10s

distance covered by A = 5t = 5×10 = 50m distance covered by B =7t =7×10 = 70m

hence, 50m distance from 1st point they meet each other.

Answer 2

Let A and B are two bodies start moving each other . speed of body A is 5m/sec and speed of body B is 7m/sec .

Let at point C , they meet each other and t is meeting time .

A===========C =============B

we know ,

distance = speed × time

distance covered by A = 5 × t = 5t m

distance covered by B = 7 × t = 7t m

for they meet each other condition is

distance covered by A + distance covered by B = intial distance between A and B

5t + 7t = 120 m

12t = 120 m

t = 10 sec

hence, bodies meet each other at t = 10s

distance covered by A = 5t = 5×10 = 50m distance covered by B =7t =7×10 = 70m

hence, 50m distance from 1st point they meet each other.