Question : Two runners, Sony and Mony, start running on a circular track of length 200 m at speeds of 18 km/h and 24 km/h, respectively, in the same direction. After how much time from the start will they meet again at the starting point?
Option 1: 120 sec
Option 2: 110 sec
Option 3: 100 sec
Option 4: 90 sec
Latest: SSC CGL 2024 final Result 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: 120 sec
Solution : We know, Sony and Mony, running on a circular track in the same direction of length 200 m at speeds of 18 km/h and 24 km/h. Speed of Sony = 18 km/h = 18 × $\frac{5}{18}$ m/s = 5 m/s So, time taken by Sony to complete one lap = $\frac{200}{5}$ sec = 40 sec Speed of Mony = 24 km/h = 24 × $\frac{5}{18}$ m/s = $\frac{20}{3}$ m/s So, time taken by Sony to complete one lap = $\frac{200}{\frac{20}{3}}$ sec = 30 sec Time of meeting at starting track for first time = LCM of time taken by individuals to complete one lap = LCM (40, 30) = 120 sec Hence, the correct answer is 120 sec.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
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 race?
Option 1: 220
Option 2: 215
Option 3: 210
Option 4: 225
Question : In a circular race of 4225 m, X and Y start from the same point and at the same time, at speeds of 54 km/hr and 63 km/hr, respectively. When will they meet again for the first time on the track, when they are running in opposite directions?
Option 1: 140 seconds
Option 2: 150 seconds
Option 3: 130 seconds
Option 4: 120 seconds
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 the starting point first?
Option 1: Q
Option 2: P
Option 3: Both P and Q will reach at the same time
Option 4: No one of the P and Q
Question : P and Q are 27 km away. Two trains with speeds of 24 km/h and 18 km/h, respectively, start simultaneously from P and Q and travel in the same direction. They meet at a point R, beyond Q. Distance QR is:
Option 1: 126 km
Option 2: 81 km
Option 3: 48 km
Option 4: 36 km
Question : As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and returns to the starting point at 75 km/h. The average speed of the person throughout the journey is:
Option 1: 63.46 km/h
Option 2: 58.74 km/h
Option 3: 68.15 km/h
Option 4: 49.58 km/h
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile