Quantitative Aptitude - Time and Distance
Exam Duration: 45 Mins Total Questions : 30
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
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 certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is :
- (a)
1 : 2
- (b)
2 : 1
- (c)
1 : 4
- (d)
4 : 1
Anna left for city A from city B at 5.20 a.m. She travelled at the speed of 80 km / hr for 2 hours 15 minutes. After that the speed was reduced to 60 km / hr. If the distance between two cities is 350 kms, at what time did Anna reach city A ?
- (a)
9.20 a.m.
- (b)
9.25 a.m.
- (c)
9.35 a.m
- (d)
10.05 a.m.
- (e)
None of these
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 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 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
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
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same timne. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is :
- (a)
100 kmph
- (b)
110 kmph
- (c)
120 kmph
- (d)
130 kmph
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
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)
19.8
- (b)
58.6
- (c)
59.4
- (d)
111.80
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 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
Two trains start from P and Q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is :
- (a)
500 km
- (b)
630 km
- (c)
660 km
- (d)
900 km
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 usual speed of the train ?
I. The speed of the train is increased by 25 km / hr to reach the destination 150 km away in time.
II. The train is late by 30 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
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
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
A man performs \(\frac35\) of the total journey by rail,\(\frac{17}{20}\) by bus and the remaining 6.5 km on foot.His total journey is :
- (a)
65 km
- (b)
100 km
- (c)
120 km
- (d)
130 km
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 man can reach a certain place in 30 hours.If he reduces his speed by \(\frac1{15}\)th,he goes 10 km less in that time.Find his speed.
- (a)
4 km/hr
- (b)
5 km/hr
- (c)
\(5\frac12\)km/hr
- (d)
6 km/hr
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