Bissoy.com
Doctors Medicines MCQs Q&A

Three cars are moving around a circular track and each one of them took 182 sec, 299 sec and 115 sec to complete one round. What time will they take to meet again at the starting point?

Three cars are moving around a circular track and each one of them took 182 sec, 299 sec and 115 sec to complete one round. What time will they take to meet again at the starting point? Correct Answer 348 min and 50 sec

All the three cars will meet at the starting point at the time which will be equal to the L.C.M. of the time taken by three cars.

i.e. L.C.M. of 182, 299 and 115

182 = 13 × 14

299 = 13 × 23

115 = 23 × 5

L.C.M. = 13 × 23 × 14 × 5 = 20930

i.e. 20930 sec

Dividing by 60 we get 348.833 min or (348 min and 50 sec)

Related Questions

Five bulls participate in a race, they started running simultaneously from a circular track. They took 100 sec, 200 sec, 300 sec, 400 sec, and 500 sec to complete one round. After how much time do they meet at the starting point for the first time?
Four runners started running simultaneously from a point on a circular track. They took 300 sec, 100 sec, 150 sec and 450 sec to complete one round. After how much time do they meet at the starting point for the first time?
A, B and C start running at the same time and from the same point around a circular track. A completes a round in 280 seconds and B completes a round in 156 seconds and C completes a round in 224 seconds, then after what time they again meet at the starting point in minutes? 
Directions: Four friends Raghu, Rajesh, Ramesh and Ravi complete their Graduation in different number of years. The one who took maximum time took eight years to complete his Graduation while the one who took least time took only three years to complete it.Ravi took more time only than Raghu and completed his Graduation in five years. Ramesh did not take longer time
than Rajesh to complete his Graduation. Question: Who took more years to complete his graduation among all ?
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 sec, B in 308 sec and C in 198 sec, all starting from the same point. After what time will they again meet at the stating point again ?
Three cars started running simultaneously from a point on a circular track. They took 540 secs, 400 secs and 360 secs to complete one round. After how much time will they meet again for the first time?
Three athletes are running on a circular track. They start running simultaneously from the starting point and takes 120, 150 and 180 second to complete one round of the track. After how many minutes they will meet on the starting point for the first time?
Four horses participated in a race, they started running simultaneously in circular track. They took 45 min, 40 min, 30 min and 20 min respectively to complete one round. They meet at starting point for the first time after how much time?
Starting together at 7∶35 am 3 persons A, B, and C run around a circular path and complete one round in 6, 8, and 12 minutes respectively. (i) At what time will they again meet at the starting point? (ii) How many rounds do B complete by then?
Moving along a circular path, Ansh takes 18 minutes to complete one round and Siddhi takes 12 minutes for the same. If they start from the same point and at the same time, then after what time they will meet again at the starting point?