Grade 10 Math Word Problem (Please help!!!)

Question

A rock is dropped into a pond, creating a circular ripple. The radius of the ripple increases steadily at 6 cm/s. A toy boat is floating on the pond, 2.00 m east and 1.00 m north of the spot where the rock is dropped. How long does the ripple take to reach the boat? 

 

Answer 1

Calculate the distance d from the spot to the boat, and divide it by the speed v of the advancing ripple.  Work with meters or cm, but not both at the same time. 

 

v = 6 cm/s = 0.06 m/s

 

d = √[(2.00)² + (1.00)²] m = ? m

 

With v in m/s and d in meters,

 

t = d/v = ? seconds

 

Plug in the numbers and finish from here.