Option 3 : 1:14 PM

NFC Stage-I 2020: Full Mock Test

7535

50 Questions
150 Marks
60 Mins

**Given:**

They start the race at 1:00 PM

**Calculations:**

To determine the time when all three athletes cross each other we will have to determine the LCM of their one round completion time.

Factor of 30 = 2 × 3 × 5

Factor of 35 = 5 × 7

Factor of 40 = 5 × 2^{3}

LCM of 30, 35, 40 = 3 × 5 × 7 × 8 = 840 seconds = 14 minutes

**∴ The three athletes will cross each other simultaneously at 1:14 PM**

** **

LCM of 30, 35, 40 = 840 seconds = 14 minutes

∴ The three athletes will cross each other simultaneously at 1:14 PM