# a man in a train notices that he can count 41 telephone posts in one minute. if they are known to be 100 metres apart, then at what speed is the train travelling?

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## A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

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Question

## A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

**A**

## 57 km/hr

**B**

## 60 km/hr

**C**

## 63 km/hr

**D**

## 55 km/hr

Medium Open in App Solution Verified by Toppr

Correct option is B)

Distance between the 21 telephone posts =20×50m=1000mTime taken to cross these posts = 1 minute

= 60 seconds

∴ Speed of the train =

60 1000 m/sec = 60 1000 × 5 18 km/hr =60km/hr.

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## A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

### Question Detail

## A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

60 km/hr 100 km/hr 110 km/hr 120 km/hr

**Answer:**Option

**D**

**Explanation:**

Number of gaps between 41 poles = 40

So total distance between 41 poles = 40*50

= 2000 meter = 2 km

In 1 minute train is moving 2 km/minute.

Speed in hour = 2*60 = 120 km/hour

Similar Questions :

## 1. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?

50 meter 100 meter 110 meter None of above

**Answer:**Option

**B**

**Explanation:**

Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr

Distance covered in 6 minutes =

1 60 ∗6= 1 10 =100meters 160∗6=110=100meters

So distance between them after 6 minutes = 200 - 100

= 100 meters

## 2. A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?

16 km 14 km 12 km 10 km

**Answer:**Option

**A**

**Explanation:**

Let the time in which he travelled on foot = x hour

Time for travelling on bicycle = (9 - x) hr

Distance = Speed * Time, and Total distance = 61 km

So, 4x + 9(9-x) = 61 => 5x = 20 => x = 4

So distance traveled on foot = 4(4) = 16 km

## 3. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 7:30 am. They shall first cross each other at ?

7:15 am 7:30 am 7: 42 am 7:50 am

**Answer:**Option

**C**

**Explanation:**

Relative speed between two = 6-1 = 5 round per hour

They will cross when one round will complete with relative speed,

which is 1/5 hour = 12 mins.

So 7:30 + 12 mins = 7:42

## 4. Ram and Sham are running a race, Ram runs 25% faster than Sham and is able to allow Sham a lead of 7 meters to end a race in dead heat. Find the distance of the race.

32 meters 35 meters 39 meters 40.5 meters

**Answer:**Option

**B**

**Explanation:**

Important to Note first - Dead Head means - run or finish a race at exactly level or at same time.

From question it is clear that Ram runs faster than Sham by 25%,

So if Sham runs 100 meter in a given time then Ram will run 125 meter in that time.

So if Sham runs 4 meter then Ram will run 5 meter in given time (divide both by 25)

=> Ram can give Sham a lead of 1 meter in 5 meter race to finish race in dead heat.

Ratio of length of start given : length of race :: 1 : 5

As per question, start was given of 7 meter, So,

Length of race was 7 * 5 = 35.

## 5. A train traveled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point.

6 hours 24 mins 6 hours 21 mins 6 hours 18 mins 6 hours 15 mins

**Answer:**Option

**B**

**Explanation:**

Time taken to cover 600 km = 6 hours [because train speed is 100 km/hr]

Number of stops = begin{aligned}

frac{600}{75} - 1 = 7 \

text{Total time on stops =}7*3 = 21 mins

end{aligned}

Total time taken by train = 6 hours 21 mins

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## A man in a train notices that he can count 41 tele

Time and Distance Questions & Answers for GRE : A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train

26 Q:

A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

A) 60 km/hr B) 100 km/hr

C) 110 km/hr D) 120 km/hr

Answer: D) 120 km/hr

Explanation:

Number of gaps between 41 poles = 40

So total distance between 41 poles = 40*50

= 2000 meter = 2 km

In 1 minute train is moving 2 km/minute.

Speed in hour = 2*60 = 120 km/hour

Subject: Time and Distance - Quantitative Aptitude - Arithmetic Ability

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