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.
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