At noon, ship a is 60 km west of ship b. ship a is sailing south at 15 km/h and ship b is sailing north at 5 km/h. how fast is the distance between the ships changing at 4: 00 pm?

The two ships are sailing in opposite sides, Hence, the resultant speed is given by 15+5 = 20 km/hr.

Therefore, from the below triangle, we have

Let the distance between the ships is y. On applying Pythagorous theorem, we have

On substituting the value of y as

Since, the at noon the ship is 60 km to each other. Hence, for 4 PM, i.e. t=4, we have

On substituting the value in above, we get

Therefore,  the distance between the ships changing at a rate of 16 km/hr at 4:00 pm

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d