Question

Three persons A, B & C step off together and their steps measure 40cm, 43cm and 50cm
respectively.
(i) What is the minimum distance each should walk so that each can cover the same
distance in complete steps?
(3m)
(ii) What is the minimum distance covered (part (0) ) in km?
(1m)
I
(iii) The height of the mountain peak is 8586m. Will they be able to cover the distance in
complete steps? Why or why not?
(3m)
Person A
Person B
Person C​

Answer 1

Answer:

(i)Since the three persons start walking together.  

∴, The minimum distance covered by each of them in complete steps = LCM of the measures of their steps  

 ⇒LCM(40,4,45)=2×2×2×5×5×43=8600

 ⇒ Each person should walk a minimum distance of 8600 cm in complete steps.