Hello Aspirants. Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating question sample in **Time and Distance **with Explanation, which is common for all the IBPS,SBI,SSC and other competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

Questions Penned by Yogit

**Excluding stoppages, a train can travel with a speed of 60km/hr but with stoppages it can travel at an average 45km/hr. For how many minutes the train stops in one hour.**

a) 10min

b) 12min

c) 15min

d) 18min

e) None of these

Answer –**c) 15min**

**Explanation :**

due to stoppages 15km less is travel by train so,

15 = 60*t, t = 15 minutes – train stops in one hour

**Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.**

a) 2:5

b) 3:5

c) 4:7

d) 7:3

e) 3:7

e) None of these

Answer –**b) 3:5**

**Explanation :**

At some tine T they meet each other so,

150/a = 250/b (a and b are the speeds of the train respectively)

So, a:b = 3:5

**A thief steals a car at 3 pm and drives at 75 km/hr. He got discovered by the police at 4 pm Then the police start chasing him in another car travelling at 100km/hr. When will the policeman catch the thief?**

a) 5pm

b) 6pm

c) 7pm

d) 8pm

e) None of these

Answer –**c) 7pm**

**Explanation :**

In one hour thief will travel 75 km. Now let after x distance thief get caught, then

x/75 = (75+x)/100

u will get x = 225, so to travel 225 + 75 = 300 km by police, he will take 3 hours i.e at 7 pm

**A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.**

a) 2:11

b) 3:11

c) 1:11

d) 4:11

e) None of these

Answer –**c) 1:11**

**Explanation :**

10 = 320/st + 480/sb and

8 = 240/st + 560/sb

st and sb are the speeds of train and bus respectively

**If a man walks to his office at 5km/hr, he will be late by 30 minutes. If he walks at 6km/hr, he will be**

late by 10minutes. Find the distance between his home and office?

a) 5km

b) 10km

c) 15km

d) 20km

e) None of these

Answer –**b) 10km**

**Explanation :**

Let distance be D km, then,

D = 5*(t + 1/2) and D = 6*(t+ 1/6) solve both question and we get D = 10km

**Rakesh travelled 1800 kilometre by air which formed 3/5 of the total journey. He travels 1/4 of the trip by car and the remaining trip by train. Find the distance travelled by train.**

a) 350

b) 450

c) 550

d) 650

e) None of these

Answer –**b) 450**

**Explanation :**

3/5 of D = 1800. So D = 3000 km,

so distance travelled by train = 3000 – 1800 – 1/4 of 3000 = 450

**Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 20km/hr, then find the area of square field.**

a) 125

b) 225

c) 325

d) 425

e) None of these

Answer –**b) 225**

**Explanation :**

D = 20*3/2 = 30 km. So side of square is 15km, so area – 225km^2

**The distance between two cities P and Q is 300km. A train starts from station P at 10 am with speed 80 km/hr towards Q. Another train starts from Q towards P with speed 40km/hr at 11 am . At what time do they meet?**

a) 12.20pm

b) 12.40 pm

c) 12.50 pm

d) 1 pm

e) None of these

Answer –**c) 12.50 pm**

**Explanation :**

First train starts at 10am so in one hour it covers 80 km in one hour. Now distance b/w P and Q is 220. Suppose at some’ x’ km they meet. So,

x/80 = (220-x)/40

x = 440/3. The time after which they meet = (440/3)/80 = 11/6 i.e = 1hr 50 min.

**A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.**

a) 100

b) 110

c) 120

d) 140

e) None of these

Answer –**c) 120**

**Explanation :**

In 5hrs, A will cover 30 km. Now, at some distance ‘x’. So A will cover X distance and B will cover 30 + X.

x/6 = (30+x)/8

x = 90. So distance from start after which B will catch A = 120km

**Two guns were fired from the same place at an interval of 13 minutes but a person travelling in a train approaching the place hear the second sound after 12 minutes than the first. Find the speed of the train. Consider sound travels at a speed of 330 meter per sec.**

a) 33km/hr

b) 66km/hr

c) 99km/hr

d) 120km/hr

e) None of these

Answer –**c) 99km/hr**

**Explanation :**

Sound travels at 330m/sec. In one minute sound travel = 330*60 meter.

So speed of train = (330*60)/720 = 330/12 m/sec or 330/12 of 18/5 = 99 km/hr

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