Bissoy.com
Doctors Medicines MCQs Q&A

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?

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? Correct Answer 1 hr 40 min

Given:

Five bulls complete one round in 100 sec, 200 sec, 300 sec, 400 sec and 500 sec respectively,

Concept:

The least number which is exactly divisible by each of the given numbers is called the least common multiple of those numbers.

Calculation:

100 = 2 × 2 × 5 × 5

200 = 2 × 2 × 2 × 5 × 5

300 = 2 × 2 × 3 × 5 × 5

400 = 2 × 2 × 2 × 2 × 5 × 5

500 = 2 × 2 × 5 × 5 × 5

⇒ LCM of 100, 200, 300, 400 and 500 = 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 = 6000 seconds

6000 seconds = 100 min = 1 hr 40 min

∴ They meet first time at starting point after 1 hr 40 min.

Related Questions

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?
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?
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?
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?
Rakesh and Abhinay are swimmers and they participated in a swimming race in which they had to travel between two ports A and B and returned back from B to A. Rakesh took 37.5 seconds to complete the race and Abhinay took 200/3 seconds to complete the race. If the speed of Abhinay is increased by 100% then find the approximate difference between the time taken by Rakesh and Abhinay to complete the race where the speed of stream is 5m/s and the distance between two ports is 250m.
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 ?
There are five boys – Arjun, Kamal, Dhanush, Vijay and Surya running in a running race competition consecutively for 2 years – 2019 and 2020. In 2019, Dhanush and Surya are the winner and runner of the race. Only two people completed the race before Arjun. There is no one completed the race after Vijay. But in 2020, Dhanush and Surya take the position took by Kamal and Arjun in 2019 Race and Vijay remain in the same position. In 2020, who is the runner up?
In a circular running track of diameter 126 m, Rahul start running on running track with speed 8 km/hour. What time he will take to complete one round of running track?
A beats B by 13 sec in a 250 m race, B beats C by 18 sec in a 400 m race, C beats D by 21 sec in 600 m race and D beats E by 36 sec in a 750 m race. What must be the speed of A in order to beat E by 200 m in a 1 km race?