Question

Three persons Satyam, Shivam and Sundaram run
along a circular path 12 km long. They start their race
from the same point and at the same time with a
speed of 3 km/h, 7 km/h and 13 km/h, respectively.
After what time will they meet again?​

Answer 1

Question:

Three persons Satyam, Shivam and Sundaram run along a circular path 12 km long. They start their race from the same point and at the same time with a speed of 3 km/h, 7 km/h and 13 km/h, respectively. After what time will they meet again?

To Find:

• After what time will they meet again ?

Solution:

1. Time taken by Satyam = 12/3h = 4h
2. Time taken by Shivam = 12/7h
3. Time taken by Sundaram = 12/13h

∴ Satyam, Shivam, Sundaram will meet again after an interval.

【Find the L.C.M. of (4/1, 12/7 & 12/13) hours】

★ L.C.M. & H.C.F. solutions is refer to the attachment above ★

→ $\frac{L.C.M. of (4, 12, 12)}{H.C.F. of (1, 7, 13)}$

→ $\frac{12}{1}$

Hence,

After 12 hrs they will meet again.