TNPSC Quantitative Aptitude - Time and Distance
Exam Duration: 45 Mins Total Questions : 30
A man walking at the rate of 5 km / hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is :
- (a)
600
- (b)
750
- (c)
1000
- (d)
1250
How long will a boy take to run round a square field of side 35 metres, if he runs at the rate of 9 km/hr ?
- (a)
50 sec
- (b)
52 sec
- (c)
54 sec
- (d)
56 sec
A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds ?
- (a)
45 metres
- (b)
55 metres
- (c)
450 metres
- (d)
Cannot be determined
- (e)
None of these
A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is :
- (a)
3 : 4
- (b)
4 : 3
- (c)
3 : 5
- (d)
50 : 3
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is :
- (a)
70 km / hr
- (b)
75 km / hr
- (c)
84 km / hr
- (d)
87.5 km / hr
A person travels from P to Q at speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both trips ?
- (a)
36 kmph
- (b)
45 kmph
- (c)
48 kmph
- (d)
50 kmph
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40 km / hr. In the return trip, he covers the same distance at an average speed of 20 km / hr. The average speed of the car over the entire distance of 400 km is :
- (a)
25 km / hr
- (b)
26.67 km / hr
- (c)
28.56 km / hr
- (d)
30 km / hr
A boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr. If he takes 5 hours in going and coming, the distance between his house and school is :
- (a)
5 km
- (b)
5.5 km
- (c)
6 km
- (d)
6.5 km
The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and fro journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is :
- (a)
45 km / hr
- (b)
47.5 km / hr
- (c)
52 km / hr
- (d)
56.25 km / hr
A motorist covers a distance of 39 km in 45 minutes by moving at a speed of x kmph for the first 15 minutes, then moving at double the speed for the next 20 minutes and then again moving at his original speed for the rest of the journey. Then, x is equal to :
- (a)
31.2
- (b)
36
- (c)
40
- (d)
52
If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is :
- (a)
13 min.
- (b)
15 min.
- (c)
19 min.
- (d)
21 min.
A car travels from P to Q at a constant speed. If its speed were increased by 10 km / hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km / hr. What is the distance between the two cities ?
- (a)
420 km
- (b)
540 km
- (c)
600 km
- (d)
650 km
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is :
- (a)
5 kmph
- (b)
6 kmph
- (c)
6.25 kmph
- (d)
7.5 kmph
A thief is noticed by a policeman from a distance of 200 m. 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)
150 m
- (c)
190 m
- (d)
200 m
The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same ponit and walk in opposite directions at 4.5 km /hr and 3.75 km / hr respectively. They will meet for the first time in :
- (a)
4.9 min
- (b)
5.28 min
- (c)
5.5 min
- (d)
6 min
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
- (a)
5
- (b)
6
- (c)
7
- (d)
8
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in smae direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P ?
- (a)
60 kmph
- (b)
70 kmph
- (c)
120 kmph
- (d)
Data inadequate
- (e)
None of these
Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each at a distance of 110 km one of the stations. What is the ratio of their speeds ?
- (a)
9 : 20
- (b)
11 : 9
- (c)
11 : 20
- (d)
None of these
A man takes 5 hours 45 min. in walking to a certain place and riding back. He would ahve gained 2 hours by riding both ways. The time he would take to walk both ways, is :
- (a)
3 hrs 45 min
- (b)
7 hrs 30 min
- (c)
7 hrs 45 min
- (d)
11 hrs 45 min
Each of the questions below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the-data provided in the statements is/are sufficient to answer the question. Read both the statements and
Two towns are connetcted by railway. Can you find the distance between them ?
I. The speed of mail train is 12 km / hr more than that of an express train.
II. A mail train takes 40 minutes less than an express train to cover the distance.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question
Each of the questions below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the-data provided in the statements is/are sufficient to answer the question. Read both the statements and
What is the average speed of the car over the entire distance ?
I.The car covers the whole distance in four equal stretches at speeds of 10 kmph, 20 kmph, 30 kmph and 60 kmph respectively.
II. The total time taken is 36 minutes.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question
Each of the questions below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the-data provided in the statements is/are sufficient to answer the question. Read both the statements and
A car and a bus start from city A at the same time. How far is teh city B from city A ?
I. The car travelling at an average speed of 40 km / hr reaches city B at 4.35 p.m.
II. The bus reaches city B at 6.15 p.m. at an average speed of 60 km / hr.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question
A car moves at the speed of 80 km/hr.What is the speed of the car in metres per second?
- (a)
\(8\ m / sec\)
- (b)
\(20\frac1 9\ m/sec\)
- (c)
\(22\frac29\ m/sec\)
- (d)
None of these
One of the two buses completes a journey of 300 km in \(7\frac12\)hours and the other a journey of 450 km in 9 hours.The ratio of their average speeds is :
- (a)
2 : 3
- (b)
3 : 4
- (c)
4 : 5
- (d)
8 : 9
A train travels at an average of 50 miles per hour for \(2\frac12\)hours and then travels at a speed of 70 miles per hour for \(1\frac12\) hours.How far did the train travel in the entire 4 hours ?
- (a)
120 miles
- (b)
150 miles
- (c)
200 miles
- (d)
230 miles
Mac travels from A to B a distance of 250 miles in \(5\frac{1}2\) hours.He returns to A in 4 hours 30 minutes.His average speed is :
- (a)
44 mph
- (b)
46 mph
- (c)
48 mph
- (d)
50 mph
A train running at \(\frac{7}{11}\) of its own speed reached a place in 22 hours.How much time could be saved if the train would have run aun at its own speed?
- (a)
7 hours
- (b)
8 hours
- (c)
14 hours
- (d)
16 hours
Walking \(\frac67\)th of his usual speed,a man is 12 minutes too late.The usual time taken by him to cover that distance is :
- (a)
1 hr
- (b)
1 hr 12 min
- (c)
1 hr 15 min
- (d)
1 hr 20 min
With a uniform speed a car covers the distance in 8 hours.Had the speed been increased by 4 km/hr,the same distance could have been covered in \(7\frac12\) hours.What is the distance covered ?
- (a)
420 km
- (b)
480 km
- (c)
640 km
- (d)
Cannot be determined
- (e)
None of these
The questions below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the-data provided in the statements is/are sufficient to answer the question. Read both the statements and
The towns ,B and C are on a straight line.Town C is betwenn A and B.The distance from A to B is 100 km.How far is A from C ?
I.The distance from A to B is 25% more than the distance from C to B.
II.The distance from A to C is \(\frac14\) of the distance from C to B.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question