Time and Distance
Exam Duration: 45 Mins Total Questions : 30
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
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 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 is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km / hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to :
- (a)
3 km / hr
- (b)
4 km / hr
- (c)
5 km / hr
- (d)
7 km / hr
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 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
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
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.
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
Two men start together to walk to a certain destination, one at 3 kmph and another at 3.75 kmph. The latter arrives half an hour before the former. The distance is :
- (a)
6 km
- (b)
7.5 km
- (c)
8 km
- (d)
9.5 km
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
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
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 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.
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
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
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
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
How much time did X take to reach the destination ?
I. The ratio between the speeds of X and Y is 3 : 4.
II. Y takes 36 minutes to reach the same destination.
- (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 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
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
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 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
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
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