Question : A, B, and C run simultaneously, starting from a point, around a circular track of length 1200 m, at respective speeds of 2 m/s, 4 m/s, and 6 m/s. A and B run in the same direction, while C runs in the opposite direction to the other two. After how much time will they meet for the first time?
Option 1: 10 minutes
Option 2: 9 minutes
Option 3: 12 minutes
Option 4: 11 minutes
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 10 minutes
Solution : Circular Track length = 1200 m Speed of A = 2 m/s Speed of B = 4 m/s Speed of C = 6 m/s The relative speed of A and B = 4 – 2 = 6 m/s The relative speed of A and C = 2 + 6 = 8 m/s A and B will meet on the track after every = $\frac{1200}{2}$ = 600 s A and C will meet on the track after every = $\frac{1200}{8}$ = 150 s Thus, A, B, and C will meet together for the first time on the track after = LCM (600, 150) = 600 seconds $\therefore$ They will meet for the first time after = $\frac{600}{60}$ = 10 min Hence the correct answer is 10 minutes.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : On a circular path of 693 m, Sujata and Anjali start walking from the same point but in opposite directions at speeds of 2.85 km/hr and 1.5 m/s, respectively. When they will meet for the first time?
Question : Having started from the same point simultaneously, two runners P and Q are running around a circular track of length 500 m in opposite directions with speeds of 6 m/s and 10 m/s, respectively. If they exchange their speeds after meeting for the first time, who will reach
Question : Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After simultaneously starting the race from the same point, Ram meets Shyam for the first time at the end of the 8th minute. If Ram
Question : Two friends, P and Q, start running around a circular track from the same point. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, how many
Question : Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile