Speed, Time and Distance
- Ram and Sita are walking towards each other with the speed of 8 km/h and 2 km/h, respectively over a road 160 km long. How soon will they meet ?
-
View Hint View Answer Discuss in Forum
Distance = 160 km
Relative Speed = 8 + 2 = 10
Correct Option: A
Distance = 160 km
Relative Speed = 8 + 2 = 10
Time = Distance/Relative speed = 160/10 = 16 h
- A man walks 7.5 km at a speed of 3 km/h. At what speed would the man need two walk during the next 2 h to have an average of 4 km/h for the entire session ?
-
View Hint View Answer Discuss in Forum
Let speed of walking be V km/h.
Total time taken = (7.5/3) + 2 = 4.5 h
Total distance covered = (7.5 + 2V) km
∴ (7.5 + 2V)/4.5 = 4Correct Option: C
Let speed of walking be V km/h.
Total time taken = (7.5/3) + 2 = 4.5 h
Total distance covered = (7.5 + 2V) km
∴ (7.5 + 2V)/4.5 = 4
⇒ 7.5 + 2V = 18
⇒ 2V = 10.5
⇒ V = 5.25
∴ Speed of walking = 5.25 km/h
- A man in car notices that he can count 25 telephone posts in 1 min. If they are known to be 40 m apart, then at what speed is the car travelling ?
-
View Hint View Answer Discuss in Forum
Number of gaps between 25 telephone posts = 24
Distance travelled in 1 min = 40 x 24 = 960 mCorrect Option: B
Number of gaps between 25 telephone posts = 24
Distance travelled in 1 min = 40 x 24 = 960 m
Speed = (960 x 60)/1000 = 57.6 km/h
- A man performs 2/25 of his total journey by bus, 21/50 by car and the remaining 2 km on foot. Find the total distance covered in the whole journey. ?
-
View Hint View Answer Discuss in Forum
Let total distance covered in the whole journey = L km
∴ 2L/25 + 21L/50 + 2 = L
Correct Option: A
Let total distance covered in the whole journey = L km
∴ 2L/25 + 21L/50 + 2 = L
⇒ L = 4
∴ Total distance covered = 4 km
- One local and another express train were proceeding in the same direction on parallel tracks at 29 km/h and 65 km/h, respectively. The driver of the former noticed that it took exactly 16 s for the faster train to pass by him. What is the length of the faster train ?
-
View Hint View Answer Discuss in Forum
Relative speed of express train to local train = 65 - 29 = 36 km/h
= 36 x (5/18) m/s = 10 m/sCorrect Option: C
Relative speed of express train to local train = 65 - 29 = 36 km/h
= 36 x (5/18) m/s = 10 m/s
∴ Length of faster train = 10 x 16 = 160 m