CRE 2 - Relative Speed | Arithmetic - Time, Speed & Distance
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Two cyclists start from the same place in the opposite directions. One goes towards north at 36 km/h. and the other goes towards south at the speed of 40 km/h. What time will they take to be 190 km. apart?
- (a)
- (b)
4 hrs. 45 min
- (c)
5 hrs. 16 min
- (d)
2 hrs. 30 min.
Answer: Option D
Workspace:
X and Y are two stations 250 km apart. A train starts from X and moves towards Y at the rate of 10 km/h. Another train starts from Y at the same time and moves towards X at the rate of 15 km/h. How far from X will they cross each other?
- (a)
100 km
- (b)
150 km
- (c)
120 km
- (d)
125 km
Answer: Option A
Workspace:
A thief steals a car at 2:30 p.m. and drives it at 30 km/h. The theft is discovered at 3 p.m. and the owner sets off in another car at 50 km/h. when will he overtake the thief
- (a)
3:30 p.m.
- (b)
3:45 p.m.
- (c)
4 p.m.
- (d)
4:15 p.m.
Answer: Option B
Workspace:
Points A and B are 35 km apart on a highway. One car starts from A and the another one from B at the same time. If they travel in the same direction, they meet in 7 hours. But if they travel towards each other, they meet in one hour. The speed of the two cars are, respectively.
- (a)
25 and 20 km/h
- (b)
35 and 5 km/h
- (c)
20 and 15 km/h
- (d)
30 and 20 km/h
Answer: Option C
Workspace:
distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/h. Another train starts from B at 9 a.m. and travels towards A at 75 km/h. At what time do they meet?
- (a)
10 a.m.
- (b)
10:30 a.m.
- (c)
11 a.m.
- (d)
11:30 a.m.
Answer: Option C
Workspace:
A Person X started at 3 hours earlier at 40km/h from a place P, then another person Y followed him at 60km/h started his journey at 3 O'clock, afternoon. What is the difference in time when X was 30 km ahead of Y and when Y was 30 km ahead of X?
- (a)
2 h
- (b)
3 h
- (c)
3.5 h
- (d)
4.25 h
Answer: Option B
Workspace:
A thief is noticed by a policeman from a distance of 200m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
- (a)
100 m
- (b)
120 m
- (c)
110 m
- (d)
130 m
Answer: Option A
Workspace:
A car driver driving in fog, passes a pedestrian who was walking at the rate of 2km/h in the same direction. The pedestrian could see the car for 6 mins and it was visible to him up to a distance of 0.5 km. The speed of the car would be:
- (a)
7 km/h
- (b)
8 km/h
- (c)
6 km/h
- (d)
15 km/h
Answer: Option A
Workspace:
2 trains start from the opposite station and at the same time a bird with the constant speed of 25 kmph starts from one train and go to another train and then return to the first train again and vice versa till both the train meet each other in 1 hour. Find out the total distance travelled by the bird.
- (a)
24 km
- (b)
50 km
- (c)
25 km
- (d)
Can’t be determined
Answer: Option C
Workspace:
Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that speed travels at 330 metres per second, is:
- (a)
50.4
- (b)
11.8
- (c)
19.88
- (d)
59.4
Answer: Option D
Workspace:
A and B are running between two cities P and Q. A starts from P towards Q, reaches Q and then turns back. Similarly,B starts from Q towards P, reaches P and then turns back. They keep running to and fro in this manner.P and Q are 100 kms apart and A and B are running with respective speeds of 10 and 15 kmph.
If both A and B start simultaneously from P and Q respectively, how long will they take to meet for the first time (hours)?
Answer: 4
Workspace:
If both A and B start simultaneously from P and Q respectively, how long will they take to meet for the second time (hours)?
- (a)
10
- (b)
12
- (c)
8
- (d)
None of these
Answer: Option B
Workspace:
If both A and B start simultaneously from P and Q respectively, how long will they take to meet for the third time (hours)?
Answer: 20
Workspace:
Direction:
A and B are running between two cities P and Q. A starts from P towards Q, reaches Q and then turns back. Similarly, B starts from Q towards P, reaches P and then turns back. They keep running to and fro in this manner.P and Q are 100 kms apart and A and B are running with respective speeds of 5 and 20 kmph.
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