Mathematics - Time and Distance
Exam Duration: 45 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
Which of the following trains is the fastest ?
- (a)
25 m / sec
- (b)
1500 m / min
- (c)
90 km / hr
- (d)
None of these
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 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
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
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 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
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 man on tour travels first 160 km at 64 km / hr and the next 160 km / hr at 80 km / hr. the average speed for the first 320 km of the tour is :
- (a)
35.55 km / hr
- (b)
36 km / hr
- (c)
71.11 km / hr
- (d)
71 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
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
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
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is :
- (a)
2 : 3
- (b)
3 : 2
- (c)
3 : 4
- (d)
4 : 3
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
The distance between two cities A and b is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km / hr. Another train starts from B at 9 a.m. and travels towards A at 75 km / hr. At what time do they meet ?
- (a)
10 a.m.
- (b)
10.30 a.m.
- (c)
11 a.m.
- (d)
11.30 a.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
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 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 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.
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
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
Sound is said to travel in air at about 1100 feet per second.A man hears the axe striking the tree,\(\frac{11}5\) seconds after he sees it strike the tree.How far is the man from the wood chopper ?
- (a)
2197 ft
- (b)
2420 ft
- (c)
2500 ft
- (d)
2629 ft
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
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
Two cyclists start from the same place in opposite directions.One goes towards north at 18 kmph and the other goes towards south at 20 kmph.What time will they take to be 47.5 km apart ?
- (a)
\(1\frac14\)hrs
- (b)
\(2\frac14\)hrs
- (c)
2 hrs.23 min
- (d)
\(2\frac12\)hrs