Two boys ‘A’ and ‘B’ are running on a circular track. ‘A’ takes 1 minute to finish one round while ‘B’ takes 50 seconds to complete one round. If they start simultaneously at 10.00 am, then which of the following is the time at which they can meet at the starting point?10.11 am10.15 am10.22 am10.33 am
Question
Two boys ‘A’ and ‘B’ are running on a circular track. ‘A’ takes 1 minute to finish one round while ‘B’ takes 50 seconds to complete one round. If they start simultaneously at 10.00 am, then which of the following is the time at which they can meet at the starting point?10.11 am10.15 am10.22 am10.33 am
Solution
To solve this problem, we need to find the least common multiple (LCM) of the times it takes for each boy to complete a round. The LCM will give us the time it takes for both boys to meet at the starting point again.
Step 1: Convert the times to seconds. 'A' takes 60 seconds to complete a round and 'B' takes 50 seconds.
Step 2: Find the LCM of 60 and 50. The LCM of 60 and 50 is 300 seconds.
Step 3: Convert the LCM from seconds to minutes. 300 seconds is equal to 5 minutes.
Step 4: Add the LCM to the start time. If they start at 10.00 am, they will meet at the starting point again at 10.05 am.
However, none of the options provided match this answer. There might be a mistake in the question or the options provided.
Similar Questions
DIRECTIONS for questions 9 and 10: Type in your answer in the input box provided below the question. Two persons, A and B, simultaneously started running, from the same point, around a circular track, in the same direction, and met each other for the first time after 15 min from the start, during which time B had completed exactly five laps. Instead, if they had run in opposite directions, after how many minutes from the start would their 11th meeting have taken place, given that the speed of A is more than the speed of B?
X, Y, Z start at the same time in the same direction to run around a circular stadium. X completes a round in 63 seconds, Y in 105 seconds and Z in 210 seconds. If they start at the same time, then at what time will they meet again at the starting point?Options :A] 9 min 9 secondsB] 10 min 30 secondsC] 10 min 6 secondsD] 8 min 4 seconds
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?Options :26 minutes 18 seconds42 minutes 36 seconds45 minutes46 minutes 12 seconds
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.?
Three sprinters running on a circular track completes a lap in 4 minutes,5 minutes and 7 minutes. Find the time after which they will meet for the 1st time at the starting point when all the three sprinters start running simultaneously.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.