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

**A man walks at certain place and rides back in 10 hours. He could ride both ways in 8 hours. The time taken by him to walk both ways?**

a) 10 hr

b) 12 hr

c) 14 hr

d) 16 hr

e) None of theseAnswer –**b) 12 hr**

**Explanation :**

W + R = 10

and 2R = 8, R = 4

so, W = 6 so, walking both sides, he will take = 12 hours**Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be**

a) 400m

b) 500m

c) 600m

d) 650m

e) None of theseAnswer –**b) 500m****Explanation :**

Using pythagarous theorem,

distance travelled by first train = 36*5/18*30 = 300m

distance travelled by second train = 48*5/18*30 = 400m

so distance between them =√( 90000 + 160000) = √250000 = 500m**A train covers a distance between two stations P and Q in 30 minutes. If the speed of the train is reduced by 10km/hr, then the same distance is covered in 45 minutes. The distance between P and Q**

a) 10km

**b) 15km**

c) 20km

d) 30km

e) None of theseAnswer –

**Explanation :**

D = S*1/2 and D = (S-10)*3/4

solve both equation. u will get D = 15km**An inspector is 228 meter behind the thief. The inspector runs 42 meters and the thief runs 30 meters in a minute. In what time will the inspector catch the thief?**

a) 19 minutes

b) 20 minutes

c) 18 minutes

d) 21 minutes

e) None of theseAnswer –**a) 19 minutes**

**Explanation :**

inspector s 228 meter behind the thief and now after some x distance he will catch the thief. So,

x/30 = (228 + x)/42, we will get x = 570m

so time taken by inspector to catch the thief = (228+570)/42 = 19 minutes**Two trains 210 meters and 180 meters are running on parallel track at the speed of 72km/hr and 45km/hr respectively. The time taken by them to cross each other, if they are running in opposite direction?**

a) 8 sec

b) 10 sec

c) 12 sec

d) 15 sec

e) None of theseAnswer –**c) 12 sec**

**Explanation :**

210 + 180 = (72 + 45)*5/18*T, T = 12 seconds**A car travels from P to Q at a constant speed. If its speed were increased by 20km/hr, it would have taken two hour lesser to cover the distance. It would have taken further 30 minutes lesser if the speed was further increased by 10 km/hr. The distance between the two cities**

a) 100 km

b) 120 km

c) 150 km

d) 180 km

e) None of theseAnswer –**c) 150 km**

**Explanation :**

Let the distance between two cities = D,

D = x*t (x = usual speed and t is the actual time)

D = (X + 20)*(T -2) and D = (X +30)*(T – 2.5)

Solve the above equation, u will get T = 5 and X = 30, so distance = 30*5 = 150 km**A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house is**

a) 12km

b) 16 km

c) 20 km

d) 24 km

e) None of theseAnswer –**d) 24 km**

**Explanation :**

Let distance be D

10 = D/4 + D/6**A bus leaves the stop 30 minutes before the scheduled time. The driver decreases its speed by 30km/hr. At the next bus stop 180 km away, the bus reached on time. Find the original speed of the bus?**

a) 110km/hr

b) 120km/hr

c) 130km/hr

d) 140km/hr

e) None of theseAnswer –**b) 120km/hr**

**Explanation :**

Distance = 180km, actual speed = x and actual time = t

180 = x*t

180 = (x – 30)*(t +1/2)

Solve both equation, we will get x = 120km/hr**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 Km

b) 110 Km

c) 120 Km

d) 140 Km

e) None of theseAnswer –**c) 120 Km**

**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 = 90+30 =120km**Without any stoppages a person travels a certain distance at an average speed of 40 km/hr and with stoppages he covers the same distance at an average of 20 km/hr. How many minutes per hour does he stop?**

a) 15 minutes

b) 20 minutes

c) 30 minutes

d) 45 minutes

e) None of theseAnswer –**c) 30 minutes**

**Explanation :**

In one hour the distance covered at actual speed = 40km and with stoppages it covers only 20 km

so to travel 20 km at original speed i.e. 20 = 40*t, so t = 1/2 hour = 30

minutes

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