Hello Aspirants.

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

**A boat takes 28 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 6km/hr and the speed of the boat in still water is 9 km/hr, what is the distance between A and B?**

A.115 km

B.120 km

C.140 km

D.165 km

E.150 km

###### Answer & Explanation

Answer –**B.120 km**

**Explanation :**

Downstream speed = 9+6 = 15

Upstream speed = 9-6 = 3

Now total time is 28 hours

If distance between A and B is d, then distance BC = d/2

Now distance/speed = time, so

d/15 + (d/2)/3= 28

Solve, d = 120 km

**Speed of a man in still water is 5 km/hr and the river is running at 3km/hr. The total time taken to go to a place and come back is 10 hours. What is the distance travelled?**

A.10 km

B.16 km

C.24 km

D.32 km

E.36 km

###### Answer & Explanation

Answer –**D.32 km**

**Explanation :**

Down speed= 5+3= 8

Up speed= 5-3=2

Let distance travelled = X

(X/8)+(X/2)= 10

X= 16 km

Total distance is 16+16=32

**A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?**

A.5:2

B.7:4

C.6:1

D.8:3

E.2:5

###### Answer & Explanation

Answer –**C.6:1**

**Explanation :**

Distance covered upstream in 9hrs 48 min = Distance covered downstream in 7hrs

(X-Y) 49/5=(X+Y)7

X/y=1/6

**A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?**

A.20 min

B.22 min

C.25 min

D.30 min

E.35 min

###### Answer & Explanation

Answer –**D.30 min**

**Explanation :**

Down speed =20/24*60=50km/hr

4:1 =4x:x

Downstream speed = 4x+x=5x

Upstream speed = 4x-x=3x

5x= 50; x=10

so up speed 3*10=30

Time = 15/30*60= 30min.

**A boat whose speed in 20 km/hr in still water goes 40 km downstream and comes back in a total of 5 hours. The approx. speed of the stream (in km/hr) is:**

A.6 km/hr

B.9 km/hr

C.12 km/hr

D.16 km/hr

E.18 km/hr

###### Answer & Explanation

Answer –**B.9 km/hr**

**Explanation :**

Let the speed of the stream be x km/hr. Then,

Speed downstream = (20 + x) km/hr,

Speed upstream = (20 – x) km/hr.

40/20+x + 40/20-x = 5

X = 9 approx

**A boat covers a certain distance downstream in 2 hour, while it comes back in 2 1/2 hours. If the speed of the stream be 5 kmph, what is the speed of the boat in still water?**

A.40 kmph

B.30 kmph

C.35 kmph

D.45 kmph

E.None of these

###### Answer & Explanation

Answer –**D.45 kmph**

**Explanation :**

Let the speed of the boat in still water be*x*kmph. Then,

Speed downstream = (*x*+ 5) kmph,

Speed upstream = (*x*– 5) kmph.

(*x*+ 5)*2 = (*x*– 5)*5/2

X = 45 kmph

**A boat running downstream covers a distance of 40 km in 5 hrs and for covering the same distance upstream it takes 10 hrs. What is the speed of the stream?**

A.5 km/hr

B.2 km/hr

C.6 km/hr

D.4 km/hr

E.3 km/hr

###### Answer & Explanation

Answer –**B.2 km/hr**

**Explanation :**

Downstream speed = 40/5 = 8 km/hr

Upstream speed = 40/10 = 4 km/hr

So speed of stream = 1/2*(8-4)

**A boat goes 4 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 15 km in stationary water?**

A.2 hour 15 min

B.2 hour

C.3hr

D.3hr 30 min

E.None of these

###### Answer & Explanation

Answer –**C.3hr**

**Explanation :**

Rate downstream = 1/10 * 60 = 6kmph

Rate upstream = 4 km/hr.

Speed in still water = ½ * 10 = 5 kmph

Required time = 15/5 = 3 hr

**A man rows to a place 40 km distant and come back in 9 hours. He finds that he can row 5 km with the stream in the same time as 4 km against the stream. The rate of the stream is:**

A.1 km/hr

B.1.5 km/hr

C.2 km/hr

D.2.5 km/hr

E.None of these

###### Answer & Explanation

Answer –**A.1 km/hr**

**Explanation :**

Speed downstream = 5/x

Speed upstream = 4/x

40/(5/x) + 40/(4/x) = 9

X = ½

So, Speed downstream = 10 km/hr, Speed upstream = 8 km/hr.

Rate of the stream = 1/2 * 2 = 1 kmph

**A man can row 8 km/hr in still water. When the river is running at 4 km/hr, it takes him 2 1/3hr to row to a place and come back. How far is the place?**

A.4 km

B.5 km

C.7 km

D.10 km

E.None of these

###### Answer & Explanation

Answer –**C.7 km**

**Explanation :**

Downstream speed = 8+4= 12 => a

Upstream speed = 8-4= 4 => b

Distance = a*b/(a+b) * total time (t)

= 12*4/16 * 7/3

= 7kms

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