SPEED, TIME AND DISTANCE (CDS)

Total Questions: 54

1. It takes 11 h for a 600 km journey if 120 km is done by train and the rest by car. It takes 40 min more if 200 km are covered by train and the rest by car. What is the ratio of speed of the car to that of the train? [2019 (II) Evening Shift]

Correct Answer: (a) 3 : 2
Solution:Let the speed of train be x km/h and car y km/h.


2. Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm, respectively and travelled at uniform speeds of 60 km/h, 80 km/h and x km/h, respectively in the same direction. If all the three meet at another point at the same instant during their journey, then what is the value of x? [2019 (I) Morning Shift]

Correct Answer: (a) 120
Solution:Speed of car A = 60 km/h


3. Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha’s speed is 8 km/h whereas Hema’s speed is 10 km/h. Hema takes 9 min less than Radha to reach the school. How far is the school from the locality of Radha and Hema? [2019 (I) Morning Shift]

Correct Answer: (c) 6 km
Solution:Radha’s speed = 8 km/h

4. A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart [2019 (I) Morning Shift]


What is the average speed of this runner?

Correct Answer: (b) 8 km/h
Solution:


5. A train 100 m long passes a platform 100 m long in 10 s. The speed of the train is [2018 (II) Evening Shift]

Correct Answer: (d) 72 km/h
Solution:Given, length of train = 100 m

6. A cyclist covers his first 20 km at an average speed of 40 km/h, another 10 km at an average speed of 10 km/h and the last 30 km at an average speed of 40 km/h. Then, the average speed of the entire journey is [2018 (II) Evening Shift]

Correct Answer: (b) 26.67 km/h
Solution:


7. In a race of 1000 m, A beats B by 150 m, while in another race of 3000 m, C beats D by 400 m. Speed of B is equal to that of D. (Assume that A, B, C and D run with uniform speed in all the events). If A and C participate in a race of 6000 m, then which one of the following is correct? [2018 (II) Evening Shift]

Correct Answer: (c) A beats C by 115.38 m
Solution:In a race of 1000 m, A beats B 150 m


8. The minute hand of a clock overtakes the hour hand after every 72 min of correct time. How much time does the clock lose or gain in a day of normal time? [2018 (II) Evening Shift]

Correct Answer: (a)
Solution:As we know that in a correct clock, the minute hand gains 55 min spaces over the hour hand in 60 min

9. A thief steals a car parked in a house and goes away with a speed of 40 km/h. The theft was discovered after half an hour and immediately the owner sets off in another car with a speed of 60 km/h. When will the owner meet the thief? [2018 (II) Evening Shift]

Correct Answer: (b) 60 km from the owner’s house and 1.5 h after the theft
Solution:Speed of thief = 40 km/h


10. A train moving with a speed of 60 km/h crosses an electric pole in 30 s. What is the length of the train in metres? [2018 (I) Morning Shift]

Correct Answer: (c) 500
Solution:Speed of train = 60 km/h