A can run a distance in 30 minutes, while B takes 45 minutes for the same distan

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Question: A can run a distance in 30 minutes, while B takes 45 minutes for the same distance. What is the ratio of their speeds?

Options:

Correct Answer: 3:2

Solution:

Speed ratio = time taken by B : time taken by A = 45:30 = 3:2.

A can run a distance in 30 minutes, while B takes 45 minutes for the same distance. What is the ratio of their speeds?

A can run a distance in 30 minutes, while B takes 45 minutes for the same distance. What is the ratio of their speeds?

Step 1: Understand that speed is inversely related to time taken for the same distance.
Step 2: Identify the time taken by A, which is 30 minutes.
Step 3: Identify the time taken by B, which is 45 minutes.
Step 4: Write the ratio of the time taken by B to the time taken by A: 45 minutes (B) : 30 minutes (A).
Step 5: Simplify the ratio 45:30 by dividing both numbers by their greatest common divisor, which is 15.
Step 6: Calculate 45 ÷ 15 = 3 and 30 ÷ 15 = 2.
Step 7: Write the simplified ratio as 3:2.

Speed and Time Relationship – The relationship between speed, distance, and time, where speed is inversely proportional to the time taken for a fixed distance.