In a morning walk .three person step off together .thier step measure 70cm,75cm,and80cm respectively .what is minimum istance each should walk so that all can cover the same distance in a complete steps
Answers
Answer:
the minimum distance each should walk so that all can cover the same distance in complete steps is 12240 cm.
Explanation:
SOLUTION :
GIVEN: Their steps measure 80 cm, 85 cm and 90 cm.
We have to find the L.C.M of the measures of their steps i.e. 80 cm, 85 cm, and 90 cm, to calculate the required distance each should walk.
L.C.M of 80 cm, 85 cm, and 90 cm.
80 = 2⁴ x 5
85 = 17 x 5
90 = 2 x 3 x 3 x 5
L.C.M of 80, 85 and 90 = 2⁴ x 3 x 3 x 5 x 17
L.C.M of 80, 85 and 90 = 12240 cm
Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 12240 cm.
HOPE THIS ANSWER WILL HELP YOU.
** The numbers are different I have done it in my tution copy . But I am working on my computer**
first we need to find the lcm of=8400cm
70,75,80
so,the minimum distance each=8400÷100
should cover so that all can. =84 metres
cover the same distance in
complete steps is.
hope this may help you.