In covering a distance, the speeds of A & B are in the ratio of 5 : 4. A takes 30 minutes less than B to reach the destination. Find the time taken by A to reach the destination.Choices:- 0.5 hr 2.5 hrs 2 hrs Data Inadequate

Let's solve this step by step:

Step 1: Let's assume the time taken by B to cover the distance is T hours. Therefore, the time taken by A will be T - 0.5 hours (since A takes 30 minutes less than B).

Step 2: We know that speed = distance/time. Since A and B are covering the same distance, we can say that the speed of A / speed of B = time of B / time of A.

Step 3: Substituting the given speeds and times into the equation from step 2, we get 5/4 = T / (T - 0.5).

Step 4: Cross-multiplying and simplifying, we get 5T - 2.5 = 4T.

Step 5: Solving for T, we find that T = 2.5 hours.

Therefore, the time taken by A to reach the destination is T - 0.5 = 2.5 - 0.5 = 2 hours. So, the correct answer is 2 hours.