Quantitative Aptitude - 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
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
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 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 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 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 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 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
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
A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km / hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car ?
- (a)
45 km / hr
- (b)
50 km / hr
- (c)
55 km / hr
- (d)
65 km / hr
In a fight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes. The duration of the flight is :
- (a)
1 hour
- (b)
2 hours
- (c)
3 hours
- (d)
4 hours
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 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 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
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
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
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
I statrted on my bicycle at 7 a.m. to reach a certain place.After going a certain distance,my bicycle went out of order.Consequently,I rested for 35 minutes and came back to my house walking all the way.I reached my house at 1 p.m.If my cycling speed is 10 kmph and my walking speed is 1 kmph, then my bicycle I covered a distance of :
- (a)
\(4\frac{61}{66} km\)
- (b)
\(13\frac{4}{9} km\)
- (c)
\(14\frac{3}{8} km\)
- (d)
\(15\frac{10}{21} km\)
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)
\(52\ km/hr\)
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
A man covered a certain distance at some speed.Had he moved 3 kmph faster,he would have taken 40 minutes less.If he had moved 2 kmph slower,he would have taken 40 minutes more.The distance (in km) is :
- (a)
35
- (b)
\(36\frac23\)
- (c)
\(37\frac12\)
- (d)
40
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
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