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If the speed of the boat in still water is 5 km/hr and the speed of the current is 10 km/hr, then find the time taken by the boat to travel 125 km with the current.

A.

2 hour

B.

3 hour

C.

4 hour

D.

5 hour

Answer with explanation

Answer: Option DExplanation

Relative speed = 15 + 10

=25 km/hr

Time = Distance/speed

= 125/25

= 5 hour

Workspace

Speed of motorboat in still water is 35 kmph. If the motorboat travels 100 km along the stream in 2 hour 30 min, then the time taken by it to cover the same distance against the stream is

A.

4 hour 20 min

B.

1 hour 20 min

C.

2 hour 20 min

D.

3 hour 20 min

Answer with explanation

Answer: Option DExplanation

The speed of the motorboat in still water is 35 km/hr.

let the speed of the strem = x km/hr

Downstream speed = Distance/time

= 100 / 2.5

= 40 km/hr

Speed of stream = 35 + x = 40

x = 5 km/hr

Upstream speed = 35 – 5 = 30 km/hr

Time taken in upstream = 100/30 =3 hour 20 min

Workspace

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

A.

50m

B.

72m

C.

80m

D.

82m

Answer with explanation

Answer: Option AExplanation

Workspace

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A.

1:3

B.

3:4

C.

3 : 2

D.

Data inadequate

Answer with explanation

Answer: Option CExplanation

Workspace

A train speeds past a pole in 15 seconds and a platform 100 m long in 25seconds. Its length is:

A.

50 m

B.

150 m

C.

200 m

D.

Data inadequate

Answer with explanation

Answer: Option BExplanation

Let the length of the train be x metres and its speed be y m/sec.

Then, (x/y)= 15 y =(x/15)

(x+100)/25 = x/15

=> 15(x + 100) = 25x

=> 15x + 1500 = 25x

=> 1500 = 10x

=> x = 150 m.

Workspace

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A.

5 sec

B.

6 sec

C.

7 sec

D.

10 sec

Answer with explanation

Answer: Option BExplanation

Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.

(66*5/18) m/sec = 55/3 m/sec

Time taken to pass the man = (110*3/55)m/sec = 6 sec.

Workspace

270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

A.

230 m

B.

240 m

C.

260 m

D.

320 m

Answer with explanation

Answer: Option AExplanation

Relative speed = (120 + 80) km/hr

=200 x(5/18)m/sec

=500/9 m/sec.

Let the length of the other train be *x* metres.

Then,(*x* + 270)/9=500/9

*x* + 270 = 500

*x* = 230.

Workspace

A.

45

B.

50

C.

60

D.

80

Answer with explanation

Answer: Option BExplanation

Let the length of each tain be x metres.

Then, distance covered = 2x metres.

Relaive speed = (46 – 36) km/hr = [10 x 5/18] m/sec = [25/9] m/sec.

∴ 2x/36 = 25/9

⇔ 2x = 100

⇔ x = 50.

Workspace

Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A.

48 sec

B.

52 sec

C.

58 sec

D.

66 sec

Answer with explanation

Answer: Option AExplanation

Relative sped = (60 + 90) km/hr

= [150 x 5/18] m/sec = [125 / 3] m/sec.

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

Required time = [2000 x 3/125] sec = 48 sec.

Workspace

A train travelling at a speed of 30 m/sec crosses a platform 600 m long in 30 seconds. The length of the train is :

A.

120 m

B.

200 m

C.

150 m

D.

300 m

Answer with explanation

Answer: Option DExplanation

Let the length of the train be *x* m. Then, its speed = (600 + *x*)30 m/sec

∴ (600 + *x*)30 = 30 ⇒ 600 + *x* = 900

⇒ *x* = 300

Workspace

A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A.

10

B.

8

C.

6

D.

4

Answer with explanation

Answer: Option CExplanation

Relative speed = 60 + 6 = 66 kmph (Since both the train and the man are in moving in opposite direction)

= (66*5/18) m/sec = 55/3 m/sec

Time taken to pass the man = (100*3/55) = 6 s

Workspace

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