Three cyclists cycle along identical circular tracks, which are exactly one third of a kilometre in circumference. Three tracks meet in the centre as show in the attached picture. Each cyclist rides around a different circle. One cyclist travels at 6 km/h, another at 9 km/h, and the third at 12 km/h.
Answers
Given: Three cyclists cycle along identical circular tracks, which are exactly one third of a kilometre in circumference. One cyclist travels at 6 km/h, another at 9 km/h, and the third at 12 km/h.
To find : Time after which they will meet at starting point
Solution:
Circumference = 1/3 km
Speed of 1st = 6k/hr
Time after which 1st reach at staring point = (1/3)/6 = 1/18 hr
Speed of 2nd = 9 km/hr
Time after which 2nd reach at staring point = (1/3)/9 = 1/27 hr
Speed of 3rd= 12 k/hr
Time after which 1st reach at staring point = (1/3)/12 = 1/36 hr
To find time after which they will meet at starting point
we need to find LCM of
1/18 , 1/27 , 1/36
= 6/108 , 4/108 , 3/108
LCM of 6, 4 & 3
6 = 2 * 3
4 = 2 * 2
3 = 3
LCM = 2 * 2 * 3 = 12
LCM of 6/108 , 4/108 , 3/108 = 12/108 = 1/9
LCM of 1/18 , 1/27 , 1/36 = 1/9
after 1 /9 hr they will meet at starting point
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Answer:
Step-by-step explanation: