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Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively. The car B reaches the destination 2 hours earlier than A. What is the time taken by A to reach the destination?
Verified Answer
Two cars namely A and B start simultaneously from a certain place at t...
If the car B reaches the destination 2 hours earlier than car A, and the speed of B is 55 kmph, then the distance between the starting point and the destination is 2 hours * 55 kmph = 110 km.
If the speed of car A is 40 kmph, then it will take 110 km / 40 kmph = 2.75 hours to reach the destination.
Therefore, the time taken by car A to reach the destination is 2.75 hours.
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Most Upvoted Answer
Two cars namely A and B start simultaneously from a certain place at t...
Given:
Car A speed = 40 kmph
Car B speed = 55 kmph

To find:
Time taken by car A to reach the destination

Assumptions:
1. Both cars travel the same distance.
2. Both cars start simultaneously.

Approach:
We can solve this problem by using the formula: Distance = Speed × Time

Let's assume the distance between the starting point and the destination is D km.

Calculations:
1. Distance covered by car A in time t: Distance_A = 40t km
2. Distance covered by car B in time (t - 2): Distance_B = 55(t - 2) km

Since both cars cover the same distance, we can equate the distances:

40t = 55(t - 2)

Simplifying the equation:
40t = 55t - 110
15t = 110
t = 110/15
t = 7.33 hours

Therefore, car A takes approximately 7.33 hours to reach the destination.

Explanation:
Car A and car B start simultaneously, but car B reaches the destination 2 hours earlier than car A. This means that car B takes (t - 2) hours to reach the destination, where t represents the time taken by car A.

We can calculate the distance covered by both cars using the formula Distance = Speed × Time. By equating the distances covered by car A and car B, we can solve for the time taken by car A.

Simplifying the equation, we find that car A takes approximately 7.33 hours to reach the destination.
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Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively. The car B reaches the destination 2 hours earlier than A. What is the time taken by A to reach the destination?
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Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively. The car B reaches the destination 2 hours earlier than A. What is the time taken by A to reach the destination? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively. The car B reaches the destination 2 hours earlier than A. What is the time taken by A to reach the destination? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively. The car B reaches the destination 2 hours earlier than A. What is the time taken by A to reach the destination?.
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