A boat travels 30 km downstream in 2 hours. What is the speed of the current if

₹0.0

Question: A boat travels 30 km downstream in 2 hours. What is the speed of the current if the speed of the boat in still water is 15 km/h?

Options:

Correct Answer: 5 km/h

Solution:

Speed downstream = distance/time = 30/2 = 15 km/h. Speed of current = speed downstream - speed of boat = 15 - 15 = 0 km/h.

A boat travels 30 km downstream in 2 hours. What is the speed of the current if the speed of the boat in still water is 15 km/h?

A boat travels 30 km downstream in 2 hours. What is the speed of the current if the speed of the boat in still water is 15 km/h?

Correct Answer: 0 km/h

Step 1: Understand that the boat travels downstream, which means it is moving with the current.
Step 2: The speed of the boat in still water is given as 15 km/h.
Step 3: Calculate the speed of the boat when it is going downstream using the formula: Speed = Distance / Time.
Step 4: Plug in the values: Distance = 30 km and Time = 2 hours. So, Speed downstream = 30 km / 2 hours = 15 km/h.
Step 5: Now, we know the speed downstream is 15 km/h and the speed of the boat in still water is also 15 km/h.
Step 6: To find the speed of the current, use the formula: Speed of current = Speed downstream - Speed of boat in still water.
Step 7: Substitute the values: Speed of current = 15 km/h - 15 km/h = 0 km/h.
Step 8: Conclude that the speed of the current is 0 km/h.

Relative Speed – Understanding how the speed of a boat in still water and the speed of the current affect the overall speed when traveling downstream.
Speed Calculation – Calculating speed using the formula speed = distance/time.
Downstream vs. Still Water Speed – Differentiating between the speed of the boat in still water and the speed when moving downstream.