Question : In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at speeds of 2.85 m/s and 5.4 km/h, respectively. After how many minutes will they meet for the first time? (Rounded off to one decimal point)
Option 1: 3.2
Option 2: 2.3
Option 3: 2.7
Option 4: 4.7
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Correct Answer: 2.3
Solution : Given: In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at speeds of 2.85 m/s and 5.4 km/h, respectively. Rohit's speed in m/s is $5.4×\frac{5}{18}=1.5$ m/s So, their relative speed is (2.85 + 1.5) = 4.35 m/s So, they will meet after $\frac{600}{4.35\times 60}$ = 2.29 $\approx$ 2.3 minutes. So, they will meet after 2.3 minutes. Hence, the correct answer is 2.3.
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Question : A circular running path is 1452 m in circumference. Two men start from the same point and walk in opposite directions at speeds of 7.5 km/h and 9 km/h, respectively. When will they meet for the first time?
Option 1: 5.17 min
Option 2: 5.28 min
Option 3: 5.71 min
Option 4: 5.82 min
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
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 : Menu and Daya travel from point A to B, a distance of 105 km, at speeds of 10 km/hr and 25 km/hr, respectively. Daya reaches point B first and returns immediately and meets Menu at point C. Find the distance from point A to point C.
Option 1: 35 km
Option 2: 60 km
Option 3: 45 km
Option 4: 62 km
Question : A train travels at a speed of 18 m/s in the first 5 minutes, covers 7.5 km in the next 10 minutes and covers 12 km in another 10 minutes. What is its average speed (in km/h, rounded off to 1 decimal place) for the entire journey?
Option 1: 59.8
Option 2: 71.2
Option 3: 45.7
Option 4: 64.6
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