Question
Two athletes start running on a circular track of 5000 meters from the same point at the same time. Their speeds are 72 km/h and 108 km/h respectively. If they run in opposite directions, after how many seconds will they meet for the first time?
Solution
ATQ, Length of the circular track = 5000 meters. Speed of first athlete = 72 km/h. Convert into m/s: 72 × 5 ÷ 18 = 20 m/s. Speed of second athlete = 108 km/h. Convert into m/s: 108 × 5 ÷ 18 = 30 m/s. Since they run in opposite directions, relative speed = 20 + 30 = 50 m/s. They will meet again for the first time when together they cover one full round. Time taken = 5000 ÷ 50 = 100 seconds.
More Time and distance Questions
- ‘A’ and ‘B’ started moving towards each other at same time with a speed of 22 km/hr and 14 km/hr, respectively. If the distance covered by ‘A’ is 40 km mor...
- The speed of two cars A and B are in the ratio of 12:15 respectively. Car A travels 15 km less than the car B in the same time duration. What was the dista...
- The ratio of speeds of ‘E’ and ‘F’ is 11:5, respectively. If the sum of time taken by them to travel 550 km each is 80 hours, then find the difference betw...
- A is cycling at an average speed of 24 km/hr such that he can reach a certain point at 12 noon. If he cycles at 48 km/hr, then he will reach the destinatio...
- A thief is spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief be ...
- A car can cover 275 km in 5 hours. If its speed is reduced by 5 km/h, then how much time will the car take to cover a distance of 250 km?
- In a 900 meter marathon, if Akhil beats Suraj by 150 meters and Suraj beats Puneet by 300 meters, then find the distance by which Akhil beats ‘C’.
- A boat goes downstream for 44 km and immediately return. It took the boat twice as long as to make the return trip. If the speed of river flow were twice a...
- Two trains X and Y start at the same time in the opposite direction from two points P and Q and arrive at their destinations 100 and 81 hours respectively ...
- Karan walks at a steady pace of 12 km/h and covers a certain distance in 10 hours. What speed must he maintain to complete the same journey in 6 hours?
Relevant for Exams:
