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Three cars A, B and C start from the same point and move in three different directions. The first two cars move in a straight line but in opposite directions. Four hours after the start, all three cars are at a same distance from their starting point. The distance between the two cars which moved in opposite directions is 340 km and the distance between the first car and the third car is 272 km. Find the distance between the second and the third car.
  • a)
    196 km
  • b)
    204 km
  • c)
    192 km
  • d)
    178 km
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three cars A, B and C start from the same point and move in three diff...

Let O be the starting point of each of the three cars and let A, B, C be the positions after 4 hours. We have been given that OA = OB = OC. Hence, all these points are concentric and a circle can be formed taking AB as a diameter. Hence, the required distance can be found using Pythagoras theorem. Thus, the required distance will be
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Community Answer
Three cars A, B and C start from the same point and move in three diff...
Let's assume that the distance between the starting point and the first car (A) is x km.

Given that the distance between the first car (A) and the third car (C) is 272 km, we can deduce that the distance between the starting point and the third car (C) is (x + 272) km.

Since the distance between the two cars moving in opposite directions is 340 km, we can infer that the sum of the distances covered by both cars is 340 km.

After 4 hours, all three cars are at the same distance from their starting point. Let's calculate the distances covered by each car after 4 hours:

- Car A: Since it moves in a straight line, its distance from the starting point after 4 hours is x km.
- Car B: Since it moves in the opposite direction, its distance from the starting point after 4 hours is x + 340 km.
- Car C: Since it moves in a straight line, its distance from the starting point after 4 hours is x + 272 km.

Now, let's equate the distances covered by each car:

x = x + 340 = x + 272

Simplifying this equation, we get:

x = 272

Therefore, the distance between the starting point and the first car (A) is 272 km.

To find the distance between the second car (B) and the third car (C), we subtract their respective distances from the starting point:

Distance between B and C = (x + 340) - (x + 272)
= 340 - 272
= 68 km

Thus, the distance between the second and third car is 68 km.

The correct answer is option 'B' (68 km).
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Three cars A, B and C start from the same point and move in three different directions. The first two cars move in a straight line but in opposite directions. Four hours after the start, all three cars are at a same distance from their starting point. The distance between the two cars which moved in opposite directions is 340 km and the distance between the first car and the third car is 272 km. Find the distance between the second and the third car.a)196 kmb)204 kmc)192 kmd)178 kmCorrect answer is option 'B'. Can you explain this answer?
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