Question

Two ancient armies are 1 km apart and begin walking toward, each other. The Vikons walk at a pace of 3 km/h and the Mohicas walk at a pace of 4 km/h. For how long will they walk before the battle begins?

Answer 1

They will walk `8 4/7` minutes befor the battle begins.

Explanation:

In `1` minute Vikons walk `3/60=1/20` km

In `1` minute Mohicas walk `4/60=1/15` km

In `1` minute they both walk toward each other `1/20+1/15=7/60` km

So to cover `1` km they will take `1/(7/60) = 60/7 or 8 4/7` minute

They will walk `8 4/7` minutes befor the battle begins. [Ans]