Time and Distance- Aptitude Questions and Answers

View in English View in Hindi

In 30 km distance, Abhay takes two hours more than Sameer. If Abhay will double his speed, then he will take less than 1 hour from Sameer. What is the speed of Abhay (in km / hour)?

A)
5

B)
6

C)
7

D)
8


Correct Answer :

5


Explanation :

Let Abhay's speed be X km/hr and Sameer's speed be Y km/hr
As is given, Abhay takes 2 hours more than Sameer
30/X - 30/Y = 2 ........ (i)

Abhay doubles his speed, i.e his speed becomes 2x, then he would take 1 hour less than Sameer
30/Y - 30/2X = 1 ......... (ii)

After adding above equations
30/X - 30/2X = 3
30/2X=3
X = 5 km/h

Post comment
Cancel
Thanks for your comment.!
Write a comment(Click here) ...
View in English View in Hindi

The speed of Karan is 40 kmph and the speed of Arjun is 60 kmph. What is the ratio of time taken by each to cover the same distance?

A)
3 : 2

B)
2 : 3

C)
1 : 2

D)
4:3


Correct Answer :

3: 2


Explanation :

karan cover a km distance in 1/40 hour and Arjun take 1/60 hour
Hence ratio of time taken by karan and arjun would be 60/40 =3/2

A boy goes to school at the speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in all, the distance of school is: (in km)?

A)
6

B)
7

C)
8

D)
9


Correct Answer :

6


Explanation :

Let the distance is x.then
Time to go to school + Time taken in return = 5
x/3 + x/2 = 5
2x+3x / 6 = 5
5x = 30
So ditance of school is , x = 6 km

A person can reach a place in 50 days by walking and resting for 9 hours a day. If he doubles his speed and also rests for double time then in how many days will he cover the double distance?

A)
126

B)
128

C)
125

D)
129


Correct Answer :

125


Explanation :

he walk = 24 - 9 = 15 hours per day
so the total time he walks would be = 15 * 50 = 750 hours

let the speed is s,distance is d and time is t.
t = d/s = 750 hours
he doubles his speed(2*s) and will cover the double distance(2*d), then new time would still be same i.e.=2*d/2*s=d/s=750 hours

he rests twice more than he did before, so he would walk = 24 - (2*9) = 6 hours per day

So,Required number of days = 750/6 = 125 days

Walking at 3/4 of her normal speed Malleshwari takes 2 hours more than the normal time to reach the destination. What is her normal time?

A)
4 hours

B)
5 hours

C)
6 hours

D)
8 hours


Correct Answer :

6 hours


Explanation :

Distance(d)=Speed(S)*Time(t)
Let the Speed is s and Time is t

distance coverd by Malleshwari in both case is equal.then
s * t = (3/4) * s *(t + 2)
t = (3/4) * (t + 2)
t - 3*t/4 = 3/2
t/4 = 3/2
t = 6

Rahul runs a distance of 1500 m in 5 minutes. What is his speed in Km/hr ?

A)
16 km/hr

B)
18 km/hr

C)
15 km/hr

D)
20 km/hr


Correct Answer :

18 km/hr


Explanation :

Speed(S) = Distance(d)/Time(t)
= 1500/ 5 m/mins
= 300 m/mins
= 300 * (60/1000 ) km/hr
= 18 km/hr

In how many minutes will Rohit cover a distance of 800 m, if he runs at speed of 10 km/hr?

A)
5 min 12 sec

B)
4 min 40 sec

C)
5 min

D)
4 min 48 sec


Correct Answer :

4 min 48 sec


Explanation :

Speed(S) = Distance(d)/Time(t)
Rohit's speed = 10 Km/hr = (10 * 5/18) m/sec = 50/18 m/sec

Time taken to cover 800 m = 800 / (50/18) sec = 800 *18 / 50 sec = 288 sec = 4 min 48 sec

Vinay cover two-third of a certain distance at 4 km/hr and the remaining at 5 km/hr. If he takes 42 minutes in all, the distance is?

A)
2.5 km

B)
4.6 km

C)
4 km

D)
3 km


Correct Answer :

3 km


Explanation :

Speed(S) = Distance(d)/Time(t)
Let total distance be d km.
Then , (2d / 3) / 4 + ( d / 3) / 5 = 42/60
d/6 + d/ 15 = 7/10
5d + 2d = 21
hence, Required distance d = 3 km

A man goes uphill with an average speed of 35 km/hr, and covers down with an average speed of 45 km/hr. The distance travelled in both the cases being the same , the average speed for the entire journey is ?

A)
315/8 km/hr

B)
325/8 km/hr

C)
40 km/hr

D)
315 km/hr


Correct Answer :

315/8 km/hr


Explanation :

When d1 = d2 , Average speed = 2*S1*S2/(S1+S2), where S1 and S2 are the speeds for covering d1 and d2 respectively

Average speed = ( 2*35*45) / (35 + 45) km/hr. = 3150 / 80 = 315 / 8 km/hr

Everyday Ramesh walks to his office at a speed of 2 km/hr and returns at a speed of 3 km/hr. If he takes 5 hours in his to and fro journey, how far is his office from his home?

A)
12 Kms

B)
6 Kms

C)
5 Kms

D)
3 Kms


Correct Answer :

6 Kms


Explanation :

Let distance between his house and office be x km
Time taken to go to office =x/2 hr
Time taken to return =x/3 hr

x/2 + x/3=5
2x+3x=30
5x=30
x=6

i.e., distance between house and office = 6 km

The ratio of the speed of two cars is 5 : 4. So, what is the ratio of their time to cover the same distance?

A)
5 : 4

B)
6 : 4

C)
6 : 5

D)
4 : 5


Correct Answer :

4 : 5


Explanation :

Speed(s) = Distance(d)/Time(t)
T1 =D/5
T2=D/4
T1/T2 = 4 / 5

To cover a distance of 315 km in 2.8 hours what should be the average speed of the car?

A)

112.5 m/s


B)

56.25 m/s


C)

62.5 m/s


D)

31.25 m/s



Correct Answer :

31.25 m/s


Explanation :

Total distance = 315 km = 315000 m
Total time = 2.8 * 60 * 60 sec
Average speed = Total distance/Total time
= 315000/2.8 * 60 * 60
= 31.25 m/s

A thief is spotted by a policeman from a distacne of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the theif is 8 km / hour and that of the policeman is 10 km/hour, then how far will the theif have to run before he is overtaken?

A)

200 m


B)

300 m


C)

400 m


D)

500 m



Correct Answer :

400 m


Explanation :

Let us assume that the time to taken by the policeman to catch the thief is t.
Now, distance run by police in time, t = t*10

Time is same for the thief and policeman.

According to question, 10t = 8t + 100/1000 km
2t = 0.1
t = 0.05

Distance run by thief in 0.05 Hrs =8*0.05 km = 0.4 km = 400 m

Starting from the same point at the same time, Ruhan and Yuvan had to reach the same destination. While Ruhan drove at 45 km/hr, Yuvan was slower by 5 km/hr. If Yuvan arrived at the destination an hour after Ruhan did, the distance covered by each, in Kilometres, was ?

A)
180

B)
420

C)
225

D)
360


Correct Answer :

360


Explanation :

Let the distance is X km , Speed= Distance/Time

Time taken to travel by Ruhan = X/45

Yuvan speed = 5 km/hr slower than Ruhan= 45 - 5 km/hr = 40 km/hr

Time taken to travel by Yuvan = X/40

As is given, X/40 - X/45 = 1 (an hour)

(9*X - 8*X) / 360 = 1

X = 360

While going form A to B, Rahman drove at 40 km an hour but while coming back he drove at only 24 km an hour. what was the average speed (in km/hr) at which he drove ?

A)
30

B)
31

C)
32

D)
33


Correct Answer :

30


Explanation :

When d1 = d2 , Average speed = 2S1S2/(S1+S2), where S1 and S2 are the speeds for covering d1 and d2 respectively

Average speed = 2S1S2/(S1+S2) = 2*40*24/(40+24)= 30 km/hr

How many minutes does a car take to cover a distance of 200 m, if it runs at a speed of 60 kmph?

A)
1/3 minutes

B)
1/5 minutes

C)
1/6 minutes

D)
1/8 minutes


Correct Answer :

1/5 minutes


Explanation :

Time taken to cover 60 km = 1 hour
that is 60000 m = 60 minutes (1 km=1000 m,1 hour=60 minutes)
Time taken to cover 1 m = 60/60000 minutes = 1/1000 minutes
Time taken to cover 200 m = 200 * 1/1000 minutes
= 1/5 minutes.

Latest Updates

Fractions

First we increased the denominator of a positive fraction by 3 and then decrease it by 5.The sum of the resulting fractions proves to be equal to 2/3. Find the denominator of the fraction if its numerator is 2?

Simplification

If we divide a two digit number by the sum of its digits we get 4 as a quotient and 3 as a remainder. Now if we divide that two digit number by the product of its digits we get 3 as a quotient and 5 as a remainder . Find the two digit number?

Fractions

The denominators of an irreducible fraction is greater than the numerator by 2.If we reduce the numerator of the reciprocal fraction by 3 and subtract the given fraction from the resulting one,we get 1/15.Find the given fraction?

Simplification

If we add the square of the digit in the tens place of the positive two digit number to the product of the digits of that number we get 52,and if we add the square of the digit in the unit's place to the same product of the digits we get 117.Find the two digit number?

The sum of squares of the digits constituting a positive two digit number is 13, If we subtract 9 from that number we shall get a number written by the same digits in the reverse order. Find the number?

The arithmetic mean of two numbers is smaller by 24 than the larger of the two numbers and the GM of the same numbers exceeds by 12 the smaller of the numbers. Find the numbers?

A number being successively divided by 3,5,8 leaves remainder 1,4,7 respectively. Find the respective remainders if the order of divisors are reversed?

The sum of all possible two digit numbers formed from three different one digit natural numbers when divided by the sum of the original three numbers is equal to?

HCF and LCM

Find the HCF and LCM of the polynomial x2-5x+6 and x2-7x+10?

Simplification

When we multiply a certain two digit number by the sum of its digits , 405 is achieved. If we multiply the number written in reverse order of the same digits by the sum of the digits, we get 486. Find the number?

Average

The sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean. Find the numbers?

Numbers

The difference of 1025-7 and 1024+x is divisible by 3. find x=?

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder . The number is?

The sum of three prime numbers is 100.If one of them exceeds another by 36 then one of the numbers is?

Find the number of zeros in the factorial of the number 18?

If a number is multiplied by 22 and the same number is added to it then we get a number that is half the square of that number. Find the number?

In doing a division of a question with zero remainder,a candidate took 12 as divisor instead of 21.The quotient obtained by him was 35. The correct quotient is?

Fractions

A number when divided by 342 gives a remainder 47.When the same number is divided by 19 what would be the remainder?

Latest Job Notifications

Jobs in West Bengal

इंडियन पोस्ट सर्विस Indian Post Service - 2357 पद - 19/08/2021 अंतिम तिथि - पश्चिम बंगाल पोस्टल सर्कल

Banking Jobs

भारतीय स्टेट बैंक State Bank of India(SBI) - 6100 पद - 26/07/2021 अंतिम तिथि - CRPD/APPR/2021-22/10

SSC Recruitment

कर्मचारी चयन आयोग Staff Selection Commission(SSC) - 25271 पद - 31/08/2021 अंतिम तिथि

Jobs in Madhya Pradesh

राष्ट्रीय स्वास्थ्य मिशन मध्य प्रदेश National Health Mission MP(NRHM) - 5215 पद - 22/06/2021 अंतिम तिथि

Jobs in Punjab

पंजाब स्टेट पावर कॉर्पोरेशन लिमिटेड Punjab State Power Corporation Limited (PSPCL) - 2632 पद - 20/06/2021 अंतिम तिथि

Jobs in Chhattisgarh

स्वास्थ्य सेवा निदेशालय, छत्तीसगढ़ Department of Health & Family Welfare, Chhattisgarh - 267 पद - 26/06/2021 अंतिम तिथि

Government Jobs

दिल्ली सबऑर्डिनेट सर्विस सिलेक्शन बोर्ड Delhi Subordinate Services Selection Board(DSSSB) - 5807 पद - 03/07/2021 अंतिम तिथि

Jobs in Madhya Pradesh

राष्ट्रीय स्वास्थ्य मिशन मध्य प्रदेश National Health Mission MP(NRHM) - 2850 पद - 31/05/2021 अंतिम तिथि

Government Jobs

इंडियन पोस्ट सर्विस Indian Post Service - 4368 पद - 29/05/2021 अंतिम तिथि

दिल्ली सबऑर्डिनेट सर्विस सिलेक्शन बोर्ड Delhi Subordinate Services Selection Board(DSSSB) - 7236 पद - 24/06/2021 अंतिम तिथि