Question

1) A circular field has a circumference of 360km. Three cyclists
start together and can cycle 48, 60 and 72 km a day, round the
field. When will they meet again? find using prime factorization ​

Answer 1

Answer:

Circumference of field =360 km

Cyclist 1 can cover 48 km in 1 day

∴ For covering 360 km=

48

360

=7.5 days

Cyclist 2 can cover 60 km in 1 day

∴ for covering 360 km=

60

360

=6 days

Cyclist 3 can cover 72 km in 1 day

∴ for covering 360 km=

72

360

=5 days

7.5 days = 7.5×24=180 hours

6 days = 6×24=144 hours

5 days = 5×24=120 hours

LCM of 180,144 & 120 is 720

Now =

24

720

=30 days

∴ The cyclist will meet after 30 days