👤

Answer :

The two boats will be 120 miles apart in 5 hours.

Let x= distance travelled by boat 1 at 10 miles per hour.

Let y= distance travelled by boat y at 14 miles per hour.

Given, total distance travelled by both the boats=120 miles.

Thus, x+y=120------(i)

Let t denote the time factor,

then, Boat 1 travels x miles in T hours.

Boat 2 travels y miles in T hours.

We know, Distance= Rate * Time

Thus,  we can say, x= 10*T---------------(ii)

                               y=14*T-----------------(iii)

Adding equations ii and iii, we get

x+y=24T----------------(iv)

Now, subtract equation iv from i, we get

0=24T-120

120= 24T

thus, t=5

Hence, they will be 120 miles apart in 5 hours.

To know more about equations: https://brainly.com/question/10777820

#SPJ4