RRB Mathematics - 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
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 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
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 can complete a journey in 10 hours. He travels first half of the joourney at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km.
- (a)
220 km
- (b)
224 km
- (c)
230 km
- (d)
234 km
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 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
A boy rides his bicycle 10 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 10 km / hr. His average speed for the entire trip is approximately :
- (a)
10.4 km / hr
- (b)
10.8 km / hr
- (c)
11 km / hr
- (d)
12.2 km / hr
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M. ?
- (a)
8 kmph
- (b)
11 kmph
- (c)
12 kmph
- (d)
14 kmph
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
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
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
A train M leaves Meerut at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10.30 a.m. At what time do the two trains cross each other ?
- (a)
7.36 a.m.
- (b)
7.56 a.m.
- (c)
8. a.m.
- (d)
8.26 a.m.
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
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
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
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 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
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
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