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Two places A and B are 100 km apart on a highway. One car starts from A and the other from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?
  • a)
    60 km/hr
  • b)
    50 km/hr
  • c)
    40 km/hr
  • d)
    32 km/hr
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Two places A and B are 100 km apart on a highway. One car starts from...
When they are moving in the same direction (x > y), then (x – y) x 5 = 100
⇒x – y = 20 …..(i)
When they are moving in opposite directions, then (x + y) = 100 ….(ii)
Adding these, we get
2x = 120
⇒ x = 120/2 = 60 km/hr and y = 40 km/hr
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Community Answer
Two places A and B are 100 km apart on a highway. One car starts from...
Speed of the cars:

Let's assume the speed of the car starting from point A as 'x' km/hr, and the speed of the car starting from point B as 'y' km/hr.

Meeting in the same direction:

When the cars are traveling in the same direction, their relative speed is the difference between their speeds. So, the relative speed of the cars will be (x - y) km/hr.

Given that the cars meet in 5 hours, we can use the formula:

Distance = Speed * Time

Since the cars meet after 5 hours, the distance traveled by the car starting from point A is 5x km, and the distance traveled by the car starting from point B is 5y km.

Since the total distance between points A and B is 100 km, we can write the equation:

5x + 5y = 100

Meeting in opposite directions:

When the cars are traveling towards each other, their relative speed is the sum of their speeds. So, the relative speed of the cars will be (x + y) km/hr.

Given that the cars meet in 1 hour, we can use the same formula:

Distance = Speed * Time

Since the cars meet after 1 hour, the distance traveled by the car starting from point A is 1x km, and the distance traveled by the car starting from point B is 1y km.

Using the same logic as before, we can write the equation:

x + y = 100

Solving the equations:

We now have a system of two equations:

5x + 5y = 100
x + y = 100

We can solve this system of equations using substitution or elimination method.

By subtracting the second equation from the first equation, we get:

4x + 4y = 0

Dividing both sides of the equation by 4, we get:

x + y = 25

Now we have two equations:

x + y = 25
x + y = 100

It is clear that the second equation is incorrect, as it contradicts the given information. Therefore, there must be an error in the question.

Conclusion:

Based on the given information, we cannot determine the speed of the faster car. The correct answer cannot be determined.
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Two places A and B are 100 km apart on a highway. One car starts from A and the other from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?a)60 km/hrb)50 km/hrc)40 km/hrd)32 km/hrCorrect answer is option 'A'. Can you explain this answer?
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Two places A and B are 100 km apart on a highway. One car starts from A and the other from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?a)60 km/hrb)50 km/hrc)40 km/hrd)32 km/hrCorrect answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two places A and B are 100 km apart on a highway. One car starts from A and the other from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?a)60 km/hrb)50 km/hrc)40 km/hrd)32 km/hrCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two places A and B are 100 km apart on a highway. One car starts from A and the other from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?a)60 km/hrb)50 km/hrc)40 km/hrd)32 km/hrCorrect answer is option 'A'. Can you explain this answer?.
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