Quantitative Aptitude - Time and Distance
Exam Duration: 60 Mins Total Questions : 30
An athlete runs 200 metres race in 24 seconds. His speed is :
- (a)
20 km/hr
- (b)
24 km/hr
- (c)
28.5 km/hr
- (d)
30 km/hr
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour ?
- (a)
3.6
- (b)
7.2
- (c)
8.4
- (d)
10
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 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 person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 47 minutes. The total distance (in km) is :
- (a)
2
- (b)
3
- (c)
4
- (d)
5
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
A car travels the first one-third of a certain distance with a speed of 10 km / hr, the next one-third distance with a speed of 20 km / hr, and the last one-third distance with a speed of 60 km / hr. The average speed of the car for the whole journey is :
- (a)
18 km / hr
- (b)
24 km / hr
- (c)
30 km / hr
- (d)
36 km / hr
Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session ?
- (a)
9 kmph
- (b)
10 kmph
- (c)
12 kmph
- (d)
14 kmph
A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.
- (a)
30 km
- (b)
40 km
- (c)
70 km
- (d)
80 km
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.
If a person walks at 14 km / hr instead of 10 km / hr, he would have walked 20 km more. The actual distance travelled by him is :
- (a)
50 km
- (b)
56 km
- (c)
70 km
- (d)
80 km
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same direction from the same point at 7.30 a.m.They shall first cross each other at :
- (a)
7.42 a.m.
- (b)
7.48 a.m.
- (c)
8.10 a.m.
- (d)
8.30 a.m.
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
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
Two cars pass each other in opposite direction. How long would they take to be 500 km apart ?
I. The sum of their speeds is 135 km / hr.
II. The difference of their speeds is 25 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
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
A motor car starts with the speed of 70 km/hr with its speed increasing every two hours by 10 kmph.In how many hours will it cover 345 kms?
- (a)
\(2\frac{1}4\)hrs
- (b)
4 hrs 5 min
- (c)
\(4\frac{1}2\)hrs
- (d)
Cannot be determined
- (e)
None of these
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours.To cover the same distance \(1\frac{2}3\)hours,it must travel at a speed of :
- (a)
300 kmph
- (b)
360 kmph
- (c)
600 kmph
- (d)
720 kmph
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,B and C are on a trip by a car.A drives during the first hour at an average speed of 50 km/hr.B drives during the next 2 hours at an average speed of 48 km/hr.C drives for the next 3 hours at an average speed of 52 km/hr.They reached their destination after exactly 6 hours.Their mean speed was :
- (a)
\(50\ km/hr\)
- (b)
\(50\frac13\ km/hr\)
- (c)
\(51\frac13\ km/hr\)
- (d)
\(52\ km/hr\)
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
In covering a certain distance,the speeds of A and B are in the ratio of 3 : 4.A takes 30 minutes more than B to reach the destination.The time taken by A to reach the destination is :
- (a)
1 hour
- (b)
\(1\frac12\)hours
- (c)
2 hours
- (d)
\(2\frac12\)hours
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