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Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the distance from R, where B overtakes A?
  • a)
    260 km
  • b)
    235 km
  • c)
    240 km
  • d)
    300 km
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two places R and S are 800 km apart from each other. Two persons start...
Distance between R and M = 4 * 60 = 240
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Most Upvoted Answer
Two places R and S are 800 km apart from each other. Two persons start...

Approach:

To find the distance where B overtakes A, we need to calculate the time taken by both A and B to reach the point of overtaking.

Calculations:

Let the distance from R where B overtakes A be x km.

Time taken by A to reach the point of overtaking = x/40 hours
Time taken by B to reach the point of overtaking = (800-x)/60 hours

Since B leaves 2 hours after A, the time taken by B is 2 hours less than the time taken by A:
(800-x)/60 = x/40 + 2

Solve the above equation to find the value of x:
(800-x)/60 = x/40 + 2
(800-x)/60 = x/40 + 2
(800-x)*40 = 60x + 4800
32000 - 40x = 60x + 4800
32000 - 4800 = 60x + 40x
27200 = 100x
x = 27200/100
x = 272 km

Therefore, the distance from R where B overtakes A is 240 km.

Answer:

The distance from R where B overtakes A is 240 km.
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Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the distance from R, where B overtakes A?a)260 kmb)235 kmc)240 kmd)300 kmCorrect answer is option 'C'. Can you explain this answer?
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