Quantitative Aptitude - Time and Distance
Exam Duration: 60 Mins Total Questions : 30
Which of the following trains is the fastest ?
- (a)
25 m / sec
- (b)
1500 m / min
- (c)
90 km / hr
- (d)
None of these
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
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 man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling ?
- (a)
55 km / hr
- (b)
57 km / hr
- (c)
60 km / hr
- (d)
63 km / hr
An express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ?
- (a)
6 hrs 21 min
- (b)
6 hrs 24 min
- (c)
6 hrs 27 min
- (d)
6 hrs 30 min
The speed of a car increses by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours ?
- (a)
456 kms
- (b)
482 kms
- (c)
552 kms
- (d)
556 kms
- (e)
None of these
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km / hr, the time taken by it to cover the same distance will be :
- (a)
10 min
- (b)
11 min 20 sec
- (c)
13 min
- (d)
13 min 20 sec
A person has to cover a distance of 6 km in minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km / hr ) must be :
- (a)
6
- (b)
8
- (c)
12
- (d)
15
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km / hr and partly on bicycle @ 9 km / hr. The distance travelled on foot is :
- (a)
14 km
- (b)
15 km
- (c)
6 km
- (d)
17 km
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
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
A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km / hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car ?
- (a)
45 km / hr
- (b)
50 km / hr
- (c)
55 km / hr
- (d)
65 km / hr
Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 :5. The time ratio to reach B by these persons will be :
- (a)
4 : 3 : 5
- (b)
5 : 3 : 4
- (c)
15 : 9 : 20
- (d)
15 : 20 : 12
A is twice as fast as B and B is thrice as fast as C is. The journey covered byC in 54 minutes will be covered by B in :
- (a)
18 min
- (b)
27 min
- (c)
38 min
- (d)
9 min
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction ?
- (a)
4 hrs 15 min
- (b)
8 hrs 30 min
- (c)
16 hrs
- (d)
17 hrs
A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A ?
- (a)
16.7 km
- (b)
18.6 km
- (c)
21.5 km
- (d)
26.7 km
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
A thief steals a car at 2.30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief ?
- (a)
4.30 p.m.
- (b)
4.45 p.m.
- (c)
5 p.m.
- (d)
5.15 p.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
Bombay Express left Delhi for Bombay at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16.30 hrs, travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet ?
- (a)
120 km
- (b)
360 km
- (c)
480 km
- (d)
500 km
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
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
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
A man travels 600 km by train at 80 km/hr,800 km by ship at 40 km/hr,500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr.What is the average speed for the entire distance ?
- (a)
\(60\ km/hr\)
- (b)
\(60\frac{5}{123}\ km/hr\)
- (c)
\(62\ km/hr\)
- (d)
\(65\frac{5}{123} km/hr\)
A car travelling with \(\frac57\) of its actual speed covers 42 km in 1 hr 40 min 48 sec.Find the actual speed of the car.
- (a)
\(17\frac{6}{7} km/hr\)
- (b)
\(25\ km/hr\)
- (c)
\(30\ km/hr\)
- (d)
\(35\ km/hr\)
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
Starting from his house one day,a student walks at a speed of kmph and reaches his school 6 minutes late.Next day he increases his speed by 1 kmph and reaches the school 6 minutes early.How far is the school from his house ?
- (a)
1 km
- (b)
\(1\frac12\)km
- (c)
\(1\frac34\)km
- (d)
2 km
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