At 2pm two military convoys leave Eagle River Wisconsin one headed North and 1 headed South the convoy headed North averages 50 miles per hour and the call boy headed South averages 40 miles per hour they will lose radio contact when the distance between them is more then a 135 miles when will this occur

The answer to the question is

1.5 hours that is;

When the distance between them is more then 135 miles is after 1.5 hours and they will lose radio contact at 3:30 p.m.

Step-by-step explanation:

We note that

The speed of the military convoy headed north =50 mph

The speed of the convoy headed south  = 40 mph

Let t be the time taken for the two convoys to be 135 miles apart

The time taken for the two convoys to be 135 miles apart is given by

50×t miles+ 40×t miles= 135 miles

That is 90×t miles = 135 miles

                  t = 135/90 = 1.5 hrs

is it 35

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4