Linda and Deepti are walking and jogging on a circular trail. Linda can complete one circuit in 30
Minutes, and Deepti can complete the circuit in 42 minutes. If they both start at the same place at
The same time, when will they be at the starting place at the same time?
A)210 minutes
B)1,260 minutes
C)30 minutes
D)6 minutes

Question

Quizplus · Accepted Answer

The time it takes for Linda and Deepti to meet again can be found by calculating the least common multiple (LCM) of their completion times.
LCM(30, 42) = 210
Therefore, it will take 210 minutes (3.5 hours) for Linda and Deepti to meet again at the starting place. We need to find the least common multiple (LCM) of 30 and 42 to determine when they will be at the starting place at the same time.

Prime factors of 30: 2 × 3 × 5
Prime factors of 42: 2 × 3 × 7

LCM = 2 × 3 × 5 × 7 = 210 minutes

Therefore, they will be at the starting place at the same time after 210 minutes.

Linda and Deepti Are Walking and Jogging on a Circular