TIME & DISTANCE APTITUDE Q&A

1. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how any minutes does the bus stop per hour?

[A] 9

[B] 10

[C] 12

[D] 20

ANS : B

Explanation:

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = [(9/54)*60 min = 10 min.

2. 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 from 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

ANS: D

Explanation:

Let the speed in return journey be x km/hr.

Then, speed in onward journey =(125/100)x = (5/4)x km/hr

So. Speed in onward journey = [(5/4)*45] km/hr = 56.25 km/hr

3. Walking (6/7) 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 hour

[B] 1 hr 12 min 

[C] 1 hr 15 min

[D] 1 hr 20 min

ANS: B

Explanation:

New speed = (6/7)of usual speed.

New time = (7/6) of usual time.

Therefore (7/6 of usual time)- (usual time) = (1/5) hr.

=> (1/6 of usual time)= (1/5) hr => usual time = (6/5) hr = 1 hr 12 min. 

4. 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

ANS: D

Explanation:

Ratio of speeds = 4 : 3 : 5

Therefore Ratio of times taken = (1/4) : (1/3) : (1/5) = 15 : 20 : 12 

5. 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 (1/4) hrs

[E] None of these

[C] 4(1/2) hrs

[B] 4 hrs 5 min

[D] Can not be determined

ANS : C

Explanation:

Distance covered in first 2 hours = (70 x 2) km = 140 km

Distance covered in next 2 hours = (80 x 2) km = 160 km

Remaining distance = 345 – (140 + 160) = 45 km.

Speed in the fifth hour = 90 km/hr

Time taken to cover 45 km =(45/90) hr = (1/2) hr

Therefore Total time taken = 2 + 2 + (1/2) = 4 (1/2)hrs 

6. 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

ANS: A

Explanation:

Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr

Distance covered in 6 minutes =[(1/60)*6] km = (1/10)km = 100 m.

Distance between the thief and policeman = (200 – 100) m = 100 m.

7. A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for the both the trips?

[A] 36 kmph

[B] 45 kmph

[C] 48 kmph

[D] 50 kmph

ANS: C

Explanation:

Speed on return trip = 150% of 40 = 60 kmph.

Therefore Average speed =[(2 x 40 x 60)/(40 + 60)] km/hr = (4800/100) 

km/hr = 48 km/hr.

8. A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have 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

ANS: C

Explanation:

Let the distance be x km. Then,

(Time taken to walk x km) + (Time taken to ride x km) = (23/4)hrs 

=> (Time taken to walk 2x km) + (Time taken to ride 2x km) =(23/2)hrs

But, time taken to ride 2x km = (15/4) hrs

Time taken to walk 2x km =[(23/2) - (15/4)] hrs = (31/4) hrs = 7 hrs 45 

min. 

9. A can complete a journey in 19 hours. He travels first half of the journey 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

ANS: B

Explanation:

Let the total distance be X km. Then,

=> 15x = 168 x 20 => x = [(168 x 20)/15] = 224 km.

10. Bombay Express Left Delhi from 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

ANS: C

Explanation:

Suppose they meet x hours after 14.30 hrs.

Then, 60x = 80 (x – 2) or x = 8.

Required distance = (60 x 8) km = 480 km. 

Aptitude Questions and Answers Set 3

A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

Ans. 360 years old.

One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they?

Ans. Three.

A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

Ans. Eight.

If it takes five minutes to boil one egg, how long will it take to boil four eggs?Ans. Five minutes. The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?

Ans. 32 8/11 minutes.

Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.

Ans. x = 3/2 or -3 and y = 3 or -3/2.

Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?Ans. 20 %. Find the least value of 3x + 4y if x2y3 = 6.

Ans. 10.

Can you find out what day of the week was January 12, 1979?Ans. Friday.
A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?

Ans. 1700 men.

From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?

Ans. 3720.

Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?

Ans. 167 minutes.

A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

Ans. 3 hours 20 minutes.

Aptitude Questions and Answers Set 2

ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?
Ans. AE = 10.

In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?
Ans. BC = 4 cm.

Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.
Ans. 64/2210.

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?
Ans. 991.

If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?Ans. x = e2 or e3.
The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten's place of the original number is equal to twice the difference between its digits. What is the number?
Ans. 46

Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.?
Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins.

A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?
Ans.18 hours.

What is the missing number in this series?
8 2 14 6 11 ? 14 6 18 12
Ans. 9

A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?
Ans. Brand A needed is 24kgs.

Aptitude Questions and Answers Set1

If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10

Ans. (b)

If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6

Ans. (b)

(1/10)18 - (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9(d) none of these

Ans. (a)

Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank
(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these

Ans. (a)

Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job?
(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs

Ans. (b)

Find the smallest number in a GP whose sum is 38 and product 1728
(a) 12
(b) 20
(c) 8
(d) none of these

Ans. (c)

A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs. Find the speed of the boat in still water and the speed of the water current?
(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these

Ans. (b)

A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?
(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m

Ans. (a)

Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

Ans.46 steps.

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

Ans.40 years.