Question

X, Y and Z start at the same time in the same direction to run around a circular stadium. X completes a round in 160 seconds, Y in 260 seconds and Z in 200 seconds, all starting at the same point. After what time will they meet again at the starting point?

Answer 1

just take lcm for all the numbers
you will get 10400 secs

Answer 2

Answer:

X,Y,Z will meet in 10400seconds

Step-by-step explanation:

we have been given that-: X completes a round in 160 seconds

                                            Y completes the round in 260 seconds

                                             Z completes the round in 200 seconds

X,Y,Z starts at the same time in a same direction to run around a circular stadium

We have to find after what time they will me meeting again

Taking Least Common Multiple i.e L.C.M of {160,260,200}

2[160,260,200]

2[80,130,100]

2[40,65.50]

2[20,65,25]

2[10,65,25]

5[5,65,25]

5[1,13,5]

5[1,13,1]

13[1,1,1]

Therefore L.C.M=2×2×2×2×2×5×5×13=10400

Hence X,Y,Z will meet after 10400seconds.