To solve this problem, we need to use the concept of ratios and the relationship between speed, distance, and time.

Step 1: Understand the problem
The speeds of A and B are in the ratio 3:4. This means that if B covers a certain distance in 1 unit of time, A will cover the same distance in 1.33 units of time (since 4/3 = 1.33).

Step 2: Set up the equation
We know that A takes 30 minutes more than B to cover the same distance. So, if we let the time taken by B be x (in minutes), then the time taken by A will be x + 30.

Step 3: Use the ratio
Since the speeds of A and B are in the ratio 3:4, the times taken by them will be in the ratio 4:3 (since speed is inversely proportional to time). So, we can set up the equation as follows:

x / (x + 30) = 3 / 4

Step 4: Solve the equation
Cross-multiplying gives us 4x = 3x + 90. Simplifying this gives us x = 90.

So, B takes 90 minutes to reach the destination.

Step 5: Find the time taken by A
Since A takes 30 minutes more than B, A takes 90 + 30 = 120 minutes to reach the destination.

So, the time taken by A to reach the destination is 120 minutes.

Question

To solve this problem, we need to use the concept of ratios and the relationship between speed, distance, and time.

Step 1: Understand the problem
The speeds of A and B are in the ratio 3:4. This means that if B covers a certain distance in 1 unit of time, A will cover the same distance in 1.33 units of time (since 4/3 = 1.33).

Step 2: Set up the equation
We know that A takes 30 minutes more than B to cover the same distance. So, if we let the time taken by B be x (in minutes), then the time taken by A will be x + 30.

Step 3: Use the ratio
Since the speeds of A and B are in the ratio 3:4, the times taken by them will be in the ratio 4:3 (since speed is inversely proportional to time). So, we can set up the equation as follows:

x / (x + 30) = 3 / 4

Step 4: Solve the equation
Cross-multiplying gives us 4x = 3x + 90. Simplifying this gives us x = 90.

So, B takes 90 minutes to reach the destination.

Step 5: Find the time taken by A
Since A takes 30 minutes more than B, A takes 90 + 30 = 120 minutes to reach the destination.

So, the time taken by A to reach the destination is 120 minutes.

Knowee AI · Accepted Answer

To solve this problem, we need to use the concept of ratios and the relationship between speed, distance, and time.

Step 1: Understand the problem
The speeds of A and B are in the ratio 3:4. This means that if B covers a certain distance in 1 unit of time, A will cover the same distance in 1.33 units of time (since 4/3 = 1.33).

Step 2: Set up the equation
We know that A takes 30 minutes more than B to cover the same distance. So, if we let the time taken by B be x (in minutes), then the time taken by A will be x + 30.

Step 3: Use the ratio
Since the speeds of A and B are in the ratio 3:4, the times taken by them will be in the ratio 4:3 (since speed is inversely proportional to time). So, we can set up the equation as follows:

x / (x + 30) = 3 / 4

Step 4: Solve the equation
Cross-multiplying gives us 4x = 3x + 90. Simplifying this gives us x = 90.

So, B takes 90 minutes to reach the destination.

Step 5: Find the time taken by A
Since A takes 30 minutes more than B, A takes 90 + 30 = 120 minutes to reach the destination.

So, the time taken by A to reach the destination is 120 minutes.

In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is

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