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#### The distance between two stations A and B is 440 km. A train starts at 4 p.m. from A and move towards B at an average speed of 40 km/hr. Another train starts B at 5 p.m. and moves towards A at an average speed of 60 km/hr. How far from A will the two trains meet and at what time?Option: 1 200,8 p.m.Option: 2 300,9 p.m.Option: 3 200,9 p.m.Option: 4 300,8 p.m.

The sum of the distances covered by both trains should be equal to the total distance between the stations A and B: 40t+60(t−1)=44040t + 60(t - 1) = 44040t+60(t−1)=440

40t+60t−60=440
100t−60=440
100t=500
t=5

So, the trains will meet 5 hours after Train A starts from A.

Train A starts at 4 p.m. so 5 hours from 4 p.m. is 4 p.m. + 5 hours = 9 p.m.

The two trains will meet 200 km from A at 9 p.m.

Option 3: 200, 9 p.m.

#### A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the

A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still water

• Option 1)

15 km/hr

• Option 2)

11 km/hr

• Option 3)

13 km/hr

• Option 4)

14 km/hr

• Option 5)

12 km/hr

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Option 5

#### At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hours less t

At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for his 24-mile round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hour?

• Option 1)

213 mph

• Option 2)

113 mph

• Option 3)

217 mph

• Option 4)

223 mph

• Option 5)

123 mph

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#### The speed of a boat in stll water is 10 km/hr. If its speed downstream be 13 km/hr, then speed of the stream is:

Speed of a boat in still water=10km/hr

Speed of down stream=13km/hr

Speed of stream is=u-v=13-10=3km/hr

14×60/56=15km/hr

Upstream=X-Y

15=X-2

X=15-2

X=17

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3

#### A police man was travelling @ 90kmph. He crosses a thief travelling @ 60kmph in opposite direction.

A police man was travelling @ 90kmph. He crosses a thief travelling @ 60kmph in opposite direction. He had to travel for another 6 minutes before he would U turn and chase the thief? After they crossed each other how long in minutes police will catch the thief?

• Option 1)

30

• Option 2)

36

• Option 3)

35

• Option 4)

45

• Option 5)

42

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#### PQ is a tunnel. A dog sits at the distance of 5/ 11 of PQ from P. The train whistle coming from any

PQ is a tunnel. A dog sits at the distance of 5/ 11 of PQ from P. The train whistle coming from any end of the tunnel would make the dog run. If a train approaches P and dog runs towards P the train would hit the dog at P. If the dog runs towards Q instead, it would hit the dog at Q. Find ratio of speed of train and dog?

• Option 1)

5:2

• Option 2)

16:5

• Option 3)

11:1

• Option 4)

4:5

• Option 5)

34:3

#### A father starts from home at 3 :00 p.m. to pick his son from school One day the school got over ear

A father starts from home at 3 :00 p.m. to pick his son from school One day the school got over early, at 3:00 p.m. The son start walking home. He met his father on the way and both returned 15 minutes early then the usual time. If speed of father is 35kmph then find speed of son in kmph?

• Option 1)

4

• Option 2)

5

• Option 3)

6

• Option 4)

3

• Option 5)

7