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 train 150 meters of length travels at the rate of 60 km/hr. In what time the train will pass a man who is walking at a speed of 10 km/hr in opposite direction.**

a) 53/7 sec

b) 56/7 sec

c) 54/7 sec

d) 57/7 sec

e) None of these

###### Answer & Explanation

Answer –**c) 54/7 sec**

**Explanation :**

150 = (70)*5/18*t

**Two trains of length 100 meter and 125 meter are travelling at a speed of 45 km/hr and 60km/hr respectively in same direction. In what time they will completely cross each other.**

a) 52 sec

b) 54 sec

c) 56 sec

d) 58 sec

e) None of these

###### Answer & Explanation

Answer –**b) 54 sec**

**Explanation :**

225 = (60 – 45)*5/18*T

**Two trains are travelling in same direction with 60 km/hr and 75 km/hr respectively. The faster train crosses a man sitting in the slower train in 30 sec. find the length of faster train.**

a) 100 meter

b) 125 meter

c) 140 meter

d) 150 meter

e) None of these

###### Answer & Explanation

Answer –**b) 125 meter**

**Explanation :**

L = 15*5/18*30 = 125 meter

**A train running at 45 km/hr takes 36 sec to pass a platform. Next, the train takes 12 sec to pass a man walking at the speed of 15 km/hr in the same direction. Find the length of the platform.**

a) 250m

b) 300m

c) 350m

d) 400m

e) None of these

###### Answer & Explanation

Answer –**c) 350m**

**Explanation :**

Let ‘T’ and ‘P’ are the length of train and platform respectively

T = 12*30*5/18 = 100 meter

P + 100 = 45*5/18*36

P= 350

**Two stations P and Q are 400 km apart from each other. One train start from P at a speed of 60km/hr towards Q and after 2 hours another train starts from Q towards P at 45 km/hr. At what distance from P the train will meet.**

a) 220 km

b) 240 km

c) 260 km

d) 280 km

e) None of these

###### Answer & Explanation

Answer –**d) 280 km**

**Explanation :**

First train will travel 120 km before the start of second train, Now the distance between them is 280km.

Now, x/60 = (280 – x)/45

We get x = 160 km, so distance from P = 120 + 160 = 280 km

**Two stations A and B are 150 km apart from each other. One train starts from A at 6 AM at a speed of 30 km/hr and travels towards B. Another train starts from station B at 7 AM at a speed of 20 km/hr. At what time they will meet.**

a) 9:34 AM

b) 10:34 AM

c) 8:34 AM

d) 7:34 AM

e) None of these

###### Answer & Explanation

Answer –**a) 9:24 AM**

**Explanation :**

Distance travel by first train in one hour = 30, now the distance remains 120 km only.

x/30 = (120 – x)/20, so we get x = 72 km

Now, time = (30 + 72)/30 = 3hrs and 24minutes i.e. 9: 24 am

**Two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively. In what time they will cross each other when they are moving in same direction.**

a)120 sec

b) 125 sec

c) 135 sec

d) 140 sec

e) None of these

###### Answer & Explanation

Answer –**c) 135 sec**

**Explanation :**

120 = a*10, a = 12 m/sec (speed of first train)

150 = b*15, b = 10 m/sec (speed of second train)

270 = (2)*T, T = 135 seconds

**A train running with 72km/hr takes 20sec to cross a platform 200 m long. How much it takes to cross a stationary train having twice the length of platform.**

a) 20 sec

b) 30 sec

c) 40 sec

d) 50 sec

e) None of these

###### Answer & Explanation

Answer –**b) 30 sec**

**Explanation :**

200+L = 72*(5/18)*20. L= 200m.

400 + 200 = 72*(5/18)*t. So, t = 30sec

**A train travelling with 54 km/hr takes 20 second to cross a bridge. Another train 70 meter shorter crosses the same bridge at 36 km/hr. Find the time taken by the second train to cross the bridge.**

a) 23 sec

b) 24 sec

c) 25 sec

d) 26 sec

e) None of these

###### Answer & Explanation

Answer –**a) 23 sec**

**Explanation :**

Let L and B are length of train and bridge respectively.

L + B = 54*5/18*20 = 300 meter

L + B – 70 = 36*5/18*t = 230, se we get t = 23 sec

**Two trains are moving in opposite direction having speed in the ratio 5:7. First train crosses a pole in 12 second and second train crosses the same pole n 15 second. Find the time in which they can cross each other completely.**

a) 55/4 sec

b) 53/4 sec

c) 57/4 sec

d) 59/4 sec

e) None of these

###### Answer & Explanation

Answer –**a) 55/4 sec****Explanation :**

Let the length of first train and second train be a and b meter. Then

a = 5x*12 = 60x and b = 7x*15 = 105x

They are moving in opposite direction, 165x = (12x)*T

T = 165/12 = 55/4 sec

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