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A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
  • a)
    5
  • b)
    6
  • c)
    7
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A and B walk around a circular track. A and B walk at a speed of 2 ro...
To solve this problem, we need to find out how many times A and B will cross each other before 9:30 a.m. Given that A walks at a speed of 2 rounds per hour and B walks at a speed of 3 rounds per hour, we can calculate the relative speed between A and B.

Relative speed = Speed of A + Speed of B
= 2 rounds per hour + 3 rounds per hour
= 5 rounds per hour

Since the track is circular, A and B will meet each other when they complete a total of one round. The time taken by A and B to complete one round can be calculated using the relative speed.

Time taken to complete one round = 1 round / Relative speed
= 1 round / 5 rounds per hour
= 1/5 hour

Converting 1/5 hour to minutes, we get:

1/5 hour * 60 minutes/hour = 12 minutes

So, A and B will cross each other every 12 minutes. We need to find out how many times they will cross each other before 9:30 a.m., which is 1 hour and 30 minutes after they start.

Total time = 1 hour + 30 minutes
= 1 hour + 30/60 hour
= 1.5 hours

Now, we can calculate the number of times they will cross each other by dividing the total time by the time taken to complete one round:

Number of crossings = Total time / Time taken to complete one round
= 1.5 hours / (1/5 hour)
= 1.5 * 5
= 7.5

Since we cannot have a fractional number of crossings, we round down to the nearest whole number. Therefore, A and B will cross each other 7 times before 9:30 a.m.
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Community Answer
A and B walk around a circular track. A and B walk at a speed of 2 ro...
Relative speed = Speed of A + Speed of B
(∴ they walk in opposite directions)
= 2 + 3 = 5 rounds per hour.
Therefore, they cross each other 5 times in 1 hour and 2 times in 1/2 hour
Time duration from 8 a.m. to 9.30 a.m. = 1.5 hour
Hence they cross each other 7 times before 9.30 a.m.
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Read the following information and answer the questions that follow.6 friends play a game of gambling-'Khelo Aur Jeeto' in which all 6 players sit around a circular table with a pin pointer attached on table for each one of them. There is a circular disk placed on the table which is divided into 6 equal divisions on which number I to 6 is marked. In each round of the game, circular disk is rotated and when it stops, number which is in front of pointer of respective players is considered as the score of that particular player. Player with a score of 6 will be winner of that round and all 5 other players will give him an amount which is equal to (6-their scor e)* 100. For example: A player with a score of 2 will give (6-2)* 100 = 400 to the winner (player with a score 6). This game continues for 5 Rounds and each round will definitely have a winner i.e. winner (score of 6) will be among those players who are not eliminated till that round.Elimination: If a player loses and after giving money to the winner he is left with no money, then he is eliminated from the game and he will not participate in all other rounds played after that round.Elimination with Bankruptcy: If a player loses in a round and even after giving the entire amount he had, he is still to give some amount to the winner then he is eliminated with some bankrupt amount. For Example: If a player has Rs.200 and a score 3 in any round, then he has to give Rs.300 to the winner, but as he hasRs.200 so he will give Rs.200 to the winner and will be considered as bankrupt for an amount of Rs. 100.N- Score of the player in that particular Round.A1 ....... to A5 are the amounts left with players at the end of Round 1..........to Round 5.Q. How many player(s) is/are eliminated by the end of 5th Round?

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A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?
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