Question

8. Telegraph poles are made at equal distances of 220 m along a road and heaps of stones are put at equal
distances of 300 m along the same road. The first heap is at the foot of the first pole. How far from it
along the road is the next heap which lies at the foot of a pole?
100 cm respectively. They start moving​

Answer 1

Telegraph poles occur at equal distances of 220m along a road and heaps of stones are put at equal distances of

300

m along the same road.The first heap is at the foot of the first pole.

So, next heap at foot of pole occurs at distance equal to LCM of 220m and 300m.

First we have to convert these numbers into prime factors.

So,

220= 11× 20= 11×

2 2

5

300= 3× 100= 3×

2 2

5 2

So, to findLCMwe have to take highest power among all number of each occurring factor, and multiply them to findLCM

here, prime factors appearing are 2,3,5,11

So, highest factor of 2 is 2, of 3 is 1, of 5 is 2 and of 11 is 1

∴ LCM=

2 2

3×

5 2

11= 3300

So, at 3300 m next heap of stones will lie at foot of pole.