Question

Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

Name	Distance covered (km)
Seema	`1/25`
Nancy	`1/32`
Megha	`1/40`
Soni	`1/20`

Who walked farther, Nancy or Megha?

Answer 1

We have, `1/25, 1/32, 1/40, 1/20`

First, we convert the numbers as like denominators.

Taking LCM of 25, 32, 40 and 20 = `2 xx 2 xx 2 xx 5 xx 5 xx 4` = 800

We get `1/25 = (1 xx 32)/(25 xx 32) = 32/800`,

`1/32 = (1 xx 25)/(32 xx 25) = 25/800`,

`1/40 = (1 xx 20)/(40 xx 20) = 20/800`

And `1/20 = (1 xx 40)/(20 xx 40) = 40/800`

Clearly, Nancy walked farther than Megha.