Question

Three runners cover a distance of 80 cm, 85 cm and 90 cm in every step. Find the least distance which will be covered by each runner in whole steps. Also find the number of whole steps taken by each runner.​

Answer 1

Answer:

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 to calculate the required distance each should walk.

L.C.M of 80 cm, 85 cm, and 90 cm.

80=2

4

×5

85=17×5

90=2×3

2

×5

L.C.M(80,85,90)=2

4

×3

2

×5×17

=12240cm

Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 12240 cm. or 122m 40cm

thus, option A is correct.