A boat can travel 40 km upstream in 8 hours. If the speed of the current is 4 km

₹0.0

Question: A boat can travel 40 km upstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 10 km/h

Solution:

Speed upstream = Distance/Time = 40 km / 8 h = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 4 km/h = 9 km/h.

A boat can travel 40 km upstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

A boat can travel 40 km upstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

Correct Answer: 9 km/h

Step 1: Identify the distance traveled upstream, which is 40 km.
Step 2: Identify the time taken to travel that distance, which is 8 hours.
Step 3: Calculate the speed upstream using the formula: Speed = Distance / Time. So, Speed upstream = 40 km / 8 h = 5 km/h.
Step 4: Identify the speed of the current, which is given as 4 km/h.
Step 5: To find the speed of the boat in still water, add the speed upstream to the speed of the current. So, Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 4 km/h.
Step 6: Calculate the final speed of the boat in still water, which is 9 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current when traveling upstream or downstream.
Distance, Speed, and Time Relationship – Applying the formula Distance = Speed × Time to calculate speed in different conditions.