+2 votes
161k views
in Mathematics by (106k points)

On morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

1 Answer

+4 votes
by (65.3k points)
selected by
 
Best answer

Solution:
Since, the three persons start walking together.
Therefore, The minimum distance covered by each of them in complete steps = LCM of the measures of their steps
= LCM (40, 42, 45)
40 = 2 x 2 x 2 x 5 = 23 x 5
42 = 2 x 3 x 7
45 = 3 x 3 x 5 = 32 x 5
=> LCM (40, 42, 45) = 23 x 32 x 5 x 7
= 2520
=> Each person should walk a minimum distance of 2520 cm in complete steps.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...