A circular field has a circumference of 360 km. Three cyclist starttogether and can cycle 48 60 and 72 km a day round the field. when will they meet again?


Asked by Nilesh Raikar | 20th Jul, 2017, 04:13: PM

Expert Answer:

begin mathsize 16px style Circumference space of space straight a space circular space field equals 360 space km
Distance space covered space by space 1 st space cyclist space per space day equals 48 space km
rightwards double arrow Number space of space days space taken space by space 1 st space cyclist space to space cover space the space round equals 360 over 48 equals 7.5 space days equals 7.5 cross times 24 space hours equals 180 space hours
Distance space covered space by space 2 nd space cyclist space per space day equals 60 space km
rightwards double arrow Number space of space days space taken space by space 1 st space cyclist space to space cover space the space round equals 360 over 60 equals 6 space days equals 6 cross times 24 space hours equals 144 space hours
Distance space covered space by space 3 rd space cyclist space per space day equals 72 space km
rightwards double arrow Number space of space days space taken space by space 1 st space cyclist space to space cover space the space round equals 360 over 72 equals 7.5 space days equals 5 cross times 24 space hours equals 120 space hours
Now comma space the space shortest space distance space will space be space LCM space of space 180 comma space 144 space and space 120 equals 720
And comma space 720 space hours equals 720 over 24 space days equals 30 space days
So comma space they space will space meet space in space 30 space days. end style

Answered by Rashmi Khot | 20th Jul, 2017, 04:41: PM