The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.

Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

Let, time taken to cover 2.4 miles is t .

So,

Hence, this is the required solution.

1/5^2 = 7.56/45

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18