Question

On a morning walk, three persons step off together and their steps measure 45 cm, 60 cm and 65 cm respectively. Then, the minimum distance each should walk so that each can cover the same distance in complete steps

• A. 2240 cm
• B. 2340 cm
• C. 2780 cm
• D. 2840 cm

Answer 1

The correct option is B 2340 cm

The three persons start walking together.

∴ Minimum distance covered by each of them in complete steps

= LCM of the measures of their steps

= LCM (45, 60, 65)

Now, $45=3\times 3\times 5=3^2\times 5$

$65=5\times 13=5\times 13$

$\Rightarrow LCM(45,60,65)=2^2\times 3^2\times 5\times 13=2340$

Thus, each person should walk a minimum of 2340 cm in complete steps.

Hence, the correct answer is option (b).