- 1. A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?

**Answer: Option 'A'**

**Formula = S1×S2/S2-S1 × T1+T2/60
= 4×6/2 × 16/6
= 24/2 × 16/60
= 8 × 2/5
= 16/5 = 3 1/5 Km **

- 2. A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?

**Answer: Option 'A'**

**Time = 6
Distence = 540
3/2 of 6 hours = 6 × 3/2 = 9 Hours
Required speed = 540/9 = 60 Kmph **

- 3. Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?

**Answer: Option 'C'**

**Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph**

- 4. A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?

**Answer: Option 'A'**

**Formula = 2 × F.S*S.P/F.S+S.P
= 2 × 72 × 88/88+72
= 79.2 Kmph**

- 5. An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of

**Answer: Option 'C'**

**Speed of aeroplane = 420 Kmph
Distance travelled in 6 hours
= 420 × 6 = 2520 Km
Speed of aeroplane to acver 2520 Km in 14/3
= 2520 × 3/14 = 540 Km**

- 6. If a man walks 24 Km at 8 Kmph, he will be late by 25min. if he walks 12 Kmph, how early the fixed time Will he reach?

**Answer: Option 'D'**

**Time taken to cover 24 Km at the speed of 8 Kmph = 24/8 = 3 hours
Thus, right time was 2 hours 35 mintes
Now, time taken to cover 20 Km at the speed as 12 Kmph = 2 hours
Required time = 2 hours 35 minutes - 2 hours
= 35 minutes**

- 7. In a covering a certain distance the speed of A and B are in the ratio of 6: 9, A takes 20 min more, than B to reach the destination. The time taken by A to reach the destination is:

**Answer: Option 'A'**

**Let the speed of A and B are 6x Kmph
and 9x Kmph respectively,
Let the total distance to travel = y Km
y/6x - y/9x = 1/3
y/x(1/18 = 1/3
y = 6x
Required time = 6x/6x = 1 hour **

- 8. I walk a certain distance and ride the car back taking a total time of 33 Minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?

**Answer: Option 'C'**

**Time taken in walking a certaind distance
from X and Y = 22 1/2 Min
Time taken in riding the same distance
= 33 - 22 1/2 = 10 1/2 Min
it will take 21 Min to ride both ways **

- 9. A thief is noticed by a policeman from a distance of 300 Metres. The thief starts running and policeman chases him. The thief and the policeman run at the rate of 9 Kmph and 12 Kmph respectively. What is the difference between them after 3 Minutes?

**Answer: Option 'D'**

**Speed of police man = 12 Kmph
and speed of thief = 9 Kmph
their relation speed = (12 - 9) = 3 Kmph
Distance travelled in 1/20 Hour
Thus, the distance between them = 150 Metres. **

- 10. A man starts at 3 pm with the speed of 50 Kmph. Another man follows him at 4 pm with the speed Of 75 Kmph. When will they meet?

**Answer: Option 'B'**

- 11. A motorist travels for 6 hours, the first half at 60 Kmph and the rest at 48 Kmph. Find the distance Traveled by him.

**Answer: Option 'A'**

**Distance = 3 Ã— 60 + 3 Ã— 48
= 180 + 144
= 324 Km **

- 12. A train 110 m long is running with speed of 60 km/hr .In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?

**Answer: Option 'C'**

**Relative speed = Train speed + Man Speed = 60 + 6 = 66 kmph = 18 1/3 m /sec
Distance to be covered = 110 meter
Time taken = Speed / Distance = 110 / (18 1/3) = (110 / 55) x 3 = 2 x 3 = 6 sec**

- 13. How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

**Answer: Option 'A'**

**Given, Length of the train = 500 m
Speed of the man = 3 km/hr
Speed of the train = 63 km/hr
**

- 14. A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

**Answer: Option 'B'**

**79.2 km/hr**

- 15. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

**Answer: Option 'A'**

**Given, Length of train =360 m
Length of bridge =140 m
Speed of train = 45 km/hr ---> Converting into meter/ second
= 45 × (5/18) m / sec
= 12.5 m/sec
=>**

- 16. A train covers a distance of 12 km in 10 minutes .If it takes 6 seconds to pass a telegraph post,then the length of the train is:

**Answer: Option 'A'**

**120 m**

- 17. A train running at the speed of 60 km/hr crosses a pole in 9 seconds .What is the length of the train?

**Answer: Option 'C'**

**150 m**

- 18. A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel is:

**Answer: Option 'B'**

**Given, Length of the train = 800 m
Speed of the train = 78 km/hr (convert km/hr to m/sec)
= 78 × (5/18) m /sec
= 21.667 m /sec
=> Speed of the train = 21.667 m /sec
Time taken by the train to cross the tunnel = 1 min = 60 sec
To find the length of the tunnel:
Time taken by train to cross tunnel = (Length of tunnel + Length of train) / speed of the train
=> 60 = (Length of tunnel + 800) / 21.667
=> 60 × 21.667 = Length of tunnel + 800
=> 1300 = Length of tunnel + 800
=> 1300 – 800 = Length of tunnel
=> 500 = Length of tunnel
Thus, the Length of tunnel = 500 m**

- 19. The length of the bridge , which a train 130 m long and travelling at 45 km/hr can cross in 30 seconds, is:

**Answer: Option 'C'**

**â€‹245 m**

- 20. A train 240 m long passed a pole in 24 seconds .How long will it take to pass a platform 650 m long?

**Answer: Option 'A'**

**89 sec**

- 21. A train speeds past pole in 15 seconds and a platform 100 m long in 25 seconds ,its length is:

**Answer: Option 'A'**

**150 m**

- 22. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr ,what is the length of the platform?

**Answer: Option 'B'**

**Given, time taken by train to pass the man = 20 sec
Speed of the train = 54 km/hr
---> Converting into meter/sec
=> **

- 23. A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds .What is the length of the goods train?

**Answer: Option 'A'**

**270 m**

- 24. How much time does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length?

**Answer: Option 'C'**

**Given, Length of train = 110 meter
Speed of train = 72 km/hr
Length of bridge = 132 metre
---> Converting Speed from km/hr into m/sec
=>Speed of train = 72 × (5/18) m/sec
= 4 × 5
= **

- 25. A train 100 m long is running at the speed of 30 km/hr.Find the time taken by it to pass a man standing near the railway line:

**Answer: Option 'A'**

**12 sec**

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