Question

A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi? Answer:A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi? Answer:

Answer 1

1 hour

Step-by-step explanation:

Speed of the first boat = 30 mph

Speed of the second = 40 mph

The boats will cover different distances but the time taken will be the same.

Time taken by the boats = t

Distance = Speed × Time

Distance covered by the first boat = 30t

Distance covered by the second boat = 40t

Distance between the boats = 50 mi

From the Pythagoras theorem

`√((30t)^2+(40t)^2)=50\\\Rightarrow √(2500t^2)=50\\\Rightarrow 50t=50\\\Rightarrow t=(50)/(50)=1\ hour`

Time taken by the boats when they are 50 mi away is 1 hour