Time, Speed & Distance - SSC
The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?
- A.
5
- B.
8
- C.
10
- D.
6
Answer: Option B
Explanation :
Workspace:
For the first part of her journey,Sunita travelled at a speed of 450 m/min and,for the rest of the journey, at a speed 1.4 times of her initial speed. If Sunita travelled a total distance of 33.3 km in 1hour, what was the distance that Sunita travelled at a lower speed?
- A.
11.50 KM
- B.
11.15 KM
- C.
11.25 KM
- D.
11.20 KM
Answer: Option C
Explanation :
Let Sunita travels for t minutes at 450 m/min and remaining (60 - t) minutes at 1.4 × 450 = 630 m/min
∴ Total distance travelled = 33300 meters = 450 × t + 630 × (60 - t)
⇒ 3700 = 50t + 70(60 - t)
⇒ 3700 = 50t + 4200 - 70t
⇒ 20t = 500
⇒ t = 25 minutes
∴ Distance travelled by Sunita at slower speed = 450 × 25 = 11,250 meters = 11.25 kms.
Hence, option (c).
Workspace:
In a trip, Ram can cover a distance of 200 km in 10 hours. First he started by Bike at the speed of 15 km/h. After that his bike broken down and cover the remaining distance by his friend's car at the speed of 25 km/h. Ratio between the distance covered by bike and car is ____________.
- A.
3 : 5
- B.
2 : 3
- C.
1 : 1
- D.
5 : 3
Answer: Option A
Explanation :
Let time travelled by bike = t hours, hence time travelled by car = 10 - t hours
Total distance travelled = t × 15 + (10 - t) × 25 = 200
⇒ -10t + 250 = 200
⇒ t = 5 hours.
∴ Distance travelled by bike = 5 × 15 = 75 kms and distance travelled by car = 200 - 75 = 125 kms
Ratio of distance travelled by bike and car = 75 : 125 = 3 : 5
Hence, option (a).
Workspace:
A car travelled distances of 10 km, 20 km and 30 km at speeds of 30 km/h, 40 km/h and 60 km/h, respectively. The average speed of the car is:
- A.
45 km/h
- B.
20 km/h
- C.
30 km/h
- D.
40 km/h
Answer: Option A
Explanation :
Workspace:
The distance between stations A and B is 778 kilometres. A train travels from station A to station B at a uniform speed of 84 km/h and then returns to station A at a uniform speed of 56 km/h. What is the train's average speed (in km/h) throughout the journey?
- A.
6 : 4
- B.
66.4
- C.
67.2
- D.
65
Answer: Option C
Explanation :
Workspace:
Rani covers a distance of 475 m in a minute. How much distance would Rani have covered in an hour if she travelled at 1.2 times of her current speed?
- A.
34.4 km
- B.
34.3 km
- C.
34.2 km
- D.
34.1 km
Answer: Option C
Explanation :
Workspace:
A train running at the speed of 63 km/h crosses a pole in 24 seconds. What is the length of the train?
- A.
360 m
- B.
320 m
- C.
280 m
- D.
420 m
Answer: Option D
Explanation :
Workspace:
A girl travels 30 km at a speed of 15 km/h. She travels another 20 km at a speed of 10 km/h. What is her average speed for the entire journey?
- A.
15 km/h
- B.
12.5 km/h
- C.
13 km/h
- D.
11.5 km/h
Answer: Option B
Explanation :
Workspace:
The ratio of the distances Ravina and Suhel had to travel from their respective houses to their workplaces was 4 : 7. If Suhel had to travel 63 km, how much did Ravina have to travel?
- A.
40 km
- B.
32 km
- C.
39 km
- D.
36 km
Answer: Option D
Explanation :
Workspace:
Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to complete one round. After how much time did they meet at the starting point for the first time since the race started?
- A.
4200 sec
- B.
2400 sec
- C.
3600 sec
- D.
1800 sec
Answer: Option C
Explanation :
Workspace:
n a circular race of 2500 m, a man and a woman start from a point towards opposite directions with speeds of 37 km/h and 35 km/h, respectively. After how much time from the start of the race will they meet for the first time?
- A.
2 min 40 sec
- B.
2 min 30 sec
- C.
2 min 5 sec
- D.
2 min 20 sec
Answer: Option C
Explanation :
Workspace:
A watercraft is rowed down 32 km along a river in 4 hours and 10 km against the river in 5 hours. Find the speed of the watercraft and that of the river.
- A.
4.5 km/h and 2.5 km/h
- B.
4 km/h and 3 km/h
- C.
5 km/h and 3 km/h
- D.
3.5 km/h and 1.5 km/h
Answer: Option C
Explanation :
Workspace:
Roshni travelled at the speed of 66 km/h while going from point A to point B and returned via the same route at the speed of 92.4 km/h. What was Roshni’s overall average speed during the two-way journey?
- A.
77 km/h
- B.
79.2 km/h
- C.
79 km/h
- D.
78 km/h
Answer: Option A
Explanation :
Workspace:
A man rides his bicycle for 10 kilometres at a speed of 12 kilometres per hour, then for another 12 kilometres at a speed of 10 kilometres per hour. What is his average speed for the entire trip approximately?
- A.
10.8 km/h
- B.
11.8 km/h
- C.
11.4 km/h
- D.
10 km/h
Answer: Option A
Explanation :
Workspace:
The foot of a ladder 25 m long is 7 m from the base of the building. If the top of the ladder slips by 4 m, then by how much distance will the foot of the ladder slide?
- A.
9 m
- B.
7 m
- C.
6 m
- D.
8 m
Answer: Option D
Explanation :
Workspace:
Ramesh drives from his home at a speed of 40 km/h and reaches his college 25 minutes late. The next day he increases his speed by 10 km/h, yet he is late by 10 minutes. How far is his college from his home?
- A.
50 km
- B.
55 km
- C.
45 km
- D.
60 km
Answer: Option A
Explanation :
Workspace:
A train crosses a 400 m-long platform in 50 seconds. It crosses another 600 m-long platform in 60 seconds. What are the length and the speed of the train?
- A.
600 m; 72 km/h
- B.
550 m; 75 km/h
- C.
500 m; 70 km/h
- D.
650 m; 74 km/h
Answer: Option A
Explanation :
Workspace:
Sunila drove her car at an average speed of 45 km/h for the first 75 km of a trip, and then at an average speed of 70 km/h for the remaining 45 km of the trip. If she made no stops during the trip, what was Sunila's average speed (in km/h) for the entire trip?
- A.
52
- B.
51
- C.
51
- D.
51
Answer: Option D
Explanation :
Workspace:
A train covers the distance between two stations X and Y in 6 hours. If the speed of the train is reduced by 13 km/h, then it travels the same distance in 9 hours. Find the distance between the two stations
- A.
220 km
- B.
234 km
- C.
185 km
- D.
215 km
Answer: Option B
Explanation :
Workspace:
Suraj travels 124 km at a speed of 31 km/h by bus, 96 km at a speed of 16 km/h using a car, and another 105 km at 7 km/h by car. Find his average speed for the entire distance travelled.
- A.
13 km/h
- B.
21 km/h
- C.
15 km/h
- D.
18 km/h
Answer: Option A
Explanation :
Workspace:
The speed of a boat is 12 km/h in still water. It goes 18 km downstream and comes back in a total time of hours. Find the speed of the stream (in km/h).
- A.
6
- B.
7
- C.
8
- D.
9
Answer: Option D
Explanation :
Workspace:
Rakesh runs 4/3 times as fast as Mukesh. In a race, if Rakesh gives a lead of 60 m to Mukesh, find the distance from the starting point where both of them will meet.
- A.
232 m
- B.
240 m
- C.
264 m
- D.
255 m
Answer: Option B
Explanation :
Workspace:
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some telephones are mobiles.
All mobiles are tablets.
Some tablets are laptops.
Conclusions:
I. Some mobiles are laptops.
II. All telephones are tablets.
III. Some telephones are tablets.
- A.
All conclusions I, II and III follow.
- B.
Only conclusion II follows.
- C.
Only conclusion III follows.
- D.
Only conclusions I and II follow.
Answer: Option C
Explanation :
Workspace:
Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two third of the time and the rest at an average speed of X km/h. The value of is:
- A.
19.5
- B.
51
- C.
48.75
- D.
97.5
Answer: Option C
Explanation :
Workspace:
A takes 3 hours more than B to walk 'd' km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require to walk ' d' km?
- A.
9
- B.
8
- C.
5
- D.
4
Answer: Option B
Explanation :
Workspace: