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Speed Time & Distance

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Question 1

Two cycles start from a house at interval of 10 minutes and travel with a speed of 6 km/hr. With how much speed (kmph) should a woman coming from the opposite direction towards the house travel, to meet the cycles at an interval of 8 minutes?

Question 2

Shantanu rides a motorcycle and covers a distance of 715 km at a constant speed. If the speed of the motorcycle had been 10 km/h more, he would have taken 2 hours less to cover the same distance. What is the original speed of the motorcycle?

Question 3

The ratio of speed of three racers is 2 : 3 : 4. What is the ratio of time taken by the three racers to cover the same distance?

Question 4

A train leaves P at 9 A.M. with speed of 30 km/h Another train leaves Q at 11 A.M. with speed of 45 km/h. The trains are traveling towards each other on parallel tracks. The distance between P and Q is 300 km. When they meet, what is ratio of the distance covered by them?

Question 5

If Sohail walks from his home to office at 16 km/h, he is late by 5 min. If he walks at 20 km/h, he reaches 10 min before the office time. Find the distance of his office form his house.

Question 6

Two cars are moving towards each other with speeds of 45 km/hr and 63 km/hr respectively. What is the distance (in kilometers) between the two cars ten seconds before they collide?

Question 7

Ravi while driving his car, covered 40 km at the speed of 60km/hr and then the next 20 km distance at the speed of 100km/hr. During his return journey, he covered 20 km distance at 40 km/hr. For the remaining distance he maintained his average speed such that total time taken in the return journey was 12 minutes less than the first journey. What was his average speed in the entire  journey?

Question 8

A car met with an accident 2 hours after the commencement of a journey. Due to which it had to stop for an hour and after that it moved at 25% slower than its original speed and reached the destination 1 hour 20 min late. If the accident had happened 100 km further from the earlier site of accident and the car stopped for half an hour and then the car moved at 25% slower than its original speed, then it would have reached the destination 40 minutes late. Find the actual speed of the car.

Question 9

A train crosses a stationary object in 25 sec. What is the length of the train if the speed of the train is 25 m/s?

Question 10

A truck is loaded with 450 cartons of goods and starts traveling with a speed of 100 kmph. Before reaching the destination, it unloads 150 cartons and 75 cartons respectively at two places at 1/3rd  and 2/3rd of the total distance. If its speed gets increased by 20% for every unloading of 75 cartons and it reaches its destination in 9.82 hours. Find the total distance traveled by the truck.
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Dec 14SSC & Railway