Question

Ano of times meet in circular is run is running @ 20 m / s on a circular track of 400 m and b is running on the same track @ 16 m / s in opposite direction. After 5 minutes from starting how many times they have crossed each other on starting point?

Answer 1

Answer:

27 times

Thrice on starting Point

Step-by-step explanation:

A runs at 20 m/s

Distance covered in 5 minutes = 300 sec  = 20 * 300 = 6000 m

B runs 16 m/s

Distance covered in 5 minutes = 16*300 = 4800 m

Total Distance covered by then = 6000 + 4800 = 10800 m

as they are running in opposite direction so they Crossed each other every 400 m  so they meet = 10800/400 =  27 times

to find find Meeting at strating point

A covers 400  m every  400/20 = 20 sec

B covers 400 m every 400/16 = 25 sec

20 = 2 * 2 * 5   * 25 = 5 * 5

LCM = 100

so every 100 sec they will be on Starting point

5 minutes = 300 sec

=> They have meet each other on starting point thrice