rrect answerThe ratio of speeds of A and B is 3 : 5. If A takes 24 minutes more than B to cover a certain distance then how much time (in minutes) will B take to cover the same distance?Options40203618
Question
rrect answerThe ratio of speeds of A and B is 3 : 5. If A takes 24 minutes more than B to cover a certain distance then how much time (in minutes) will B take to cover the same distance?Options40203618
Solution
The problem involves the concept of relative speed and time. Here are the steps to solve it:
Step 1: Understand the problem The ratio of speeds of A and B is 3:5. This means that if B covers a distance in 5 units of time, A will cover the same distance in 3 units of time.
Step 2: Set up the equation Since speed is inversely proportional to time, the ratio of times taken by A and B will be the inverse of the ratio of their speeds. So, the ratio of times taken by A and B is 5:3.
Step 3: Solve the equation We know that A takes 24 minutes more than B to cover the same distance. This means that the difference in the two parts of the ratio (5-3 = 2 parts) corresponds to 24 minutes. Therefore, 1 part corresponds to 24/2 = 12 minutes.
Step 4: Find the time taken by B Since the time taken by B corresponds to 3 parts of the ratio, the time taken by B to cover the same distance is 3 * 12 = 36 minutes.
So, B will take 36 minutes to cover the same distance.
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