All questions of Time and Distance for Electrical Engineering (EE) Exam

Mr.Kavin walks at 4/5 of his normal speed and takes 60 minutes more than the usual time. What will be the new time taken by Mr. Kavin?
  • a)
    260 minutes
  • b)
    235 minutes
  • c)
    220 minutes
  • d)
    300 minutes
Correct answer is option 'D'. Can you explain this answer?

Yash Patel answered
4/5 of speed = 5/4 of original time
5/4 of original time = original time + 60 minutes;
1/4 of original time = 60 minutes;
Thus, original time = 60*4 = 240 minutes = 240 + 60 = 300 minutes

The distance between two cities P and Q is 300km. A train starts from station P at 10 am with speed 80 km/hr towards Q. Another train starts from Q towards P with speed 40km/hr at 11 am. At what time do they meet?
  • a)
    12.20pm
  • b)
    12.40 pm
  • c)
    12.50 pm
  • d)
    1 pm
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Preeti Khanna answered
First train starts at 10am so in one hour it covers 80 km in one hour. Now distance b/w P and Q is 220. Suppose at some’ x’ km they meet. So,
x/80 = (220-x)/40
x = 440/3. The time after which they meet = (440/3)/80 = 11/6 i.e = 1hr 50 min.

Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in kmph?
  • a)
    1.25
  • b)
    1.1
  • c)
    11/9
  • d)
    2
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Problem: Aravind started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeeded in catching the train. Find his latter speed in kmph?

Solution:

Let the speed at which Aravind returns to his home be x km/h.

Distance from home to station = 0.5 km

Time taken to walk to the station at 1 km/h = distance / speed = 0.5 / 1 = 0.5 hours

After 3 minutes = 3/60 = 1/20 hours, Aravind starts returning home.

Time taken to return home = 1/20 hours

Time taken to travel from home to station = 0.5 / x hours

Total time taken = 0.5 / 1 + 1/20 + 0.5 / x

As Aravind catches the train, the total time taken must be less than or equal to the time of the train's departure.

Let the train's departure time be T.

0.5 / 1 + 1/20 + 0.5 / x ≤ T

Simplifying, we get:

25 + x + 10 / x ≤ 20T

Simplifying further we get,

x² - 10x + 25 ≤ 0

(x - 5)² ≤ 0

Since x² - 10x + 25 is a perfect square, its minimum value is 0.

Therefore, the only possible value of x is 5 km/h.

Hence, Aravind's latter speed is 5 km/h or 11/9 km/h (approx).

Therefore, option C is correct.

Vijay takes 4 hr in walking at certain place and return back. While it takes 3 hrs in walking at certain place and riding back. Find the time Vijay will take to ride both sides
  • a)
    1.5hr
  • b)
    2 hr
  • c)
    2.5 hr
  • d)
    3.5 hr
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vijay C answered
Time taken in first event, (from AtoB and back from BtoA) = 4hr
Time taken to walk to walk AtB/BtA= 4/2 = 2hrs
Time taken to walk from AtB and ride from BtA=3hrs
Time takes to ride back
=total time - time to walk
=3-2
=1hr
Time to ride from AtB and from BtA=1+1=2hrs
hence B)

Two trains 210 meters and 180 meters are running on parallel track at the speed of 72km/hr and 45km/hr respectively. The time taken by them to cross each other, if they are running in opposite direction?
  • a)
    8 sec
  • b)
    10 sec
  • c)
    12 sec
  • d)
    15 sec
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Sagar Sharma answered

Approach:
We will first calculate the relative speed of the two trains when they are running in opposite directions. Then, we will use the formula Time = Distance/Speed to find the time taken by the trains to cross each other.

Calculations:
- Speed of the first train = 72 km/hr = 72 * 5/18 m/s = 20 m/s
- Speed of the second train = 45 km/hr = 45 * 5/18 m/s = 12.5 m/s

Relative Speed:
When two objects move in opposite directions, their relative speed is the sum of their individual speeds.
Relative speed = Speed of first train + Speed of second train
Relative speed = 20 m/s + 12.5 m/s = 32.5 m/s

Time taken to cross each other:
- Total distance to be covered = Sum of lengths of both trains = 210 m + 180 m = 390 m
- Time = Distance / Relative speed
- Time = 390 m / 32.5 m/s = 12 seconds

Therefore, the time taken by the two trains to cross each other when they are running in opposite directions is 12 seconds. Hence, the correct answer is option C.

An inspector is 228 meter behind the thief. The inspector runs 42 meters and the thief runs 30 meters in a minute. In what time will the inspector catch the thief?
  • a)
    19 minutes
  • b)
    20 minutes
  • c)
    18 minutes
  • d)
    21 minutes
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
inspector s 228 meter behind the thief and now after some x distance he will catch the thief. So,
x/30 = (228 + x)/42, we will get x = 570m
so time taken by inspector to catch the thief = (228+570)/42 = 19 minutes

A car travels from a place A to B in 7 hour. It covers half the distance at 30 kmph and the remaining distance at 40 kmph, what is the total distance between A and B?
  • a)
     120 Km
  • b)
     250 Km
  • c)
    240 Km
  • d)
    150 Km
Correct answer is option 'C'. Can you explain this answer?

1)The car is is travel from A to B in 7 hr.
2)and it covers the x/2 distance at 30 kmph and the remaining distance at 40kmph.
3)while the total distance between A and B is ?

7= D/2×30 + D/2×40

7= D/60 + D/80

7=D(60+80)/4800

7=D 140/4800

7=D7/240

1=D/240

thus,D = 240 Kms.

The driver of an ambulance sees a college bus 40 m ahead of him after 20 seconds, the college bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the college bus?
  • a)
    10 kmph
  • b)
    12 kmph
  • c)
    15 kmph
  • d)
    22 kmph
Correct answer is option 'B'. Can you explain this answer?

Rajeev Kumar answered
Relative Speed = (Total distance)/total time
= (60+40) /20 = 5 m/s = (5*18)/5 = 18 kmph
Relative Speed = (speed of ambulance – speed of College bus)
Speed of College bus = speed of ambulance – relative speed.
= 30-18 = 12 kmph.

Rakesh travelled 1800 kilometre by air which formed 3/5 of the total journey. He travels 1/4 of the trip by car and the remaining trip by train. Find the distance travelled by train.
  • a)
    350
  • b)
    450
  • c)
    550
  • d)
    650
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Sagar Sharma answered
To find the distance travelled by train, we need to find the total distance of the journey and subtract the distance travelled by air and by car.

Let's assume the total distance of the journey is D.

Distance travelled by air: 3/5 of the total journey = (3/5) * D = 1800 km

Distance travelled by car: 1/4 of the total journey = (1/4) * D

Now, we can calculate the remaining distance travelled by train:

Remaining distance = Total distance - Distance travelled by air - Distance travelled by car

Remaining distance = D - 1800 km - (1/4) * D

Since the remaining distance is travelled by train, we need to find the value of D.

We know that the distance travelled by air is 1800 km, which is equal to 3/5 of the total distance:

1800 km = (3/5) * D

To find D, we can solve the equation:

D = (1800 km * 5) / 3
D = 3000 km

Now, we can substitute the value of D in the equation for the remaining distance:

Remaining distance = 3000 km - 1800 km - (1/4) * 3000 km
Remaining distance = 3000 km - 1800 km - 750 km
Remaining distance = 450 km

Therefore, the distance travelled by train is 450 km.

Hence, the correct answer is option 'B' (450 km).

Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be
  • a)
    400m
  • b)
    500m
  • c)
    600m
  • d)
    650m
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Rajeev Kumar answered
Using pythagarous theorem,
distance travelled by first train = 36*5/18*30 = 300m
distance travelled by second train = 48*5/18*30 = 400m
so distance between them =√(90000 + 160000) = √250000 = 500m

Anu normally takes 4 hours more than the time taken by Sachin to walk D km. If Anu doubles her speed, she can make it in 2 hours less than that of Sachin. How much time does Sachin require for walking D km?
  • a)
    10 hours
  • b)
    4 hours
  • c)
    8 hours
  • d)
    9 hours
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Let's assume that Sachin takes x hours to walk D km.

- Anu normally takes 4 hours more than Sachin to walk the same distance. So, Anu takes (x + 4) hours to walk D km.

- If Anu doubles her speed, she can complete the distance in 2 hours less than Sachin. So, Anu takes (x - 2) hours to walk D km.

To find the value of x, we can set up an equation using the given information:

(x + 4) = 2(x - 2)

Simplifying the equation:

x + 4 = 2x - 4

Bringing like terms together:

x - 2x = -4 - 4

-x = -8

Dividing both sides by -1:

x = 8

Therefore, Sachin requires 8 hours to walk D km.

Hence, the correct answer is option C) 8 hours.

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