UPSC CDS/OTA
Time, Speed and Distance
Mathematics
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Time, Speed and Distance

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Questions
30
Time
30 min
Marks
30
Solutions
All inline
Q1A bus travels from Delhi to Meerut at a speed of 50 km/hr without stoppages and with stoppages, it covers the same distance at a speed of 60 km/hr. What is the duration of stoppage by the bus per hour between Delhi and Meerut?MediumSolve →Q2A train passes two bridges of lengths 800m and 400 min in 100 seconds and 60 seconds. What is the length of the train?MediumSolve →Q3The speeds of two trains A and B are 35 km/hr and 4 km/hr. They are moving in the opposite directions on parallel tracks. The first train crossed a man standing at the side of the track in 4 seconds and the second train crossed the same man in 6 seconds. What is the time taken by the train to cross each other?MediumSolve →Q4A man travelled a distance of 97 km in 13 hours, partly on foot at the rate of 4 km/hr and partly on motor bike at the rate of 13 km/hr. Find the distance travelled on foot?MediumSolve →Q5@Img@:https://digitalbenchersfiles.s₃.ap-south-1.amazonaws.com/1755000686256Screenshot%202025-08-12%20at%205.41.16%20PM.png :@Img@MediumSolve →Q6Richa travels from A to B at the speed of 15 km/h, from B to C at 20 km/h and from C to D at 30 km/h and from D to A at 60 km/h. If ABCD is a Square park. Then find the Richa’s average speed)MediumSolve →Q7A man walks from his house to the office at 5 km/hr, he reaches the office 10 minutes later than the scheduled time. However, if he walks 1 km/hr more than the previous speed he reaches 10 minutes earlier than the scheduled time. What is the distance between his house and the required time to reach the office on time?MediumSolve →Q8A train covers a distance between A and B in 45 minutes. If the speed is decreased by 3 km/hr. Then it takes 48 minutes to cover the same distance. Find the distance between A and B (in km) and the speed of a train?MediumSolve →Q9A car travels a certain distance at a constant speed(d) If its speed were increased by 10 km/hr, it would have taken 1 hour less to cover the distance. It would have taken 45 minutes less if the speed was further increased by 10 km/hr. Find the distance between the two cities.MediumSolve →Q10A car covers a distance of 50 km in 50 minutes, If its speed is decreased by 10 km/hr. Then, what is the time taken by the car to travel the same distance?MediumSolve →
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