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In a morning walk, three persons step of...

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

A

`3520`

B

`2520`

C

`4520`

D

`7520`

Text Solution

Verified by Experts

The correct Answer is:
B
We have to find the LCM of 40cm and 45cm to get the required minimum distance.
For this, `40=2xx2xx2xx5`
`42=2xx3xx7`
and `45=3xx3xx5`
`therefore LCM(40,42,45)=2xx3xx5xx2xx2xx3xx7`
`=30xx12xx7=210xx12` =2520
Minimum distance each should walk 2520 cm. So that, each can cover that the same distance in complete steps.
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