A boat travels 15 km upstream in 3 hours. If the speed of the stream is 3 km/h,

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Question: A boat travels 15 km upstream in 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 9 km/h

Solution:

Speed upstream = 15 / 3 = 5 km/h. Speed of boat = Speed upstream + Speed of stream = 5 + 3 = 8 km/h.

A boat travels 15 km upstream in 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

A boat travels 15 km upstream in 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

Step 1: Calculate the speed of the boat while going upstream. The boat travels 15 km in 3 hours.
Step 2: Use the formula for speed, which is distance divided by time. So, speed upstream = 15 km / 3 hours.
Step 3: Calculate the speed upstream: 15 / 3 = 5 km/h.
Step 4: Understand that the speed of the boat in still water is the speed upstream plus the speed of the stream.
Step 5: The speed of the stream is given as 3 km/h.
Step 6: Add the speed upstream (5 km/h) to the speed of the stream (3 km/h).
Step 7: Calculate the total speed of the boat in still water: 5 km/h + 3 km/h = 8 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling upstream or downstream.
Speed Calculation – Calculating speed using distance and time, and applying the concept of relative speed to find the speed in still water.