Processing math: 100%

 Time and Distance Questions

FACTS  AND  FORMULAE  FOR  TIME  AND  DISTANCE

1.Speed = DistanceTime,  Time=DistanceSpeed, Distance= (Speed×Time) 

 

2. x km/hr = (x×518) m/sec

 

3. x m/sec = (x×185) km/hr

4. If the ratio of the speeds of A and B is a:b , then the ratio of the times taken by them to cover the same distance is or b : a

5. Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+ykm/hr.

Q:

To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?

A) 60 B) 72
C) 66 D) 78
 
Answer & Explanation Answer: B) 72

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

2 2535
Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

3 2453
Q:

Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 51⁄2 hours less than the first for the journey, the length of the journey is:

A) 900 km B) 940 km
C) 990 km D) 1300 km
 
Answer & Explanation Answer: C) 990 km

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

4 2423
Q:

Two cars, a Maruthi and a Toyato, start at the same time in opposite directions from two distinct points A and B. Starting from A, the Maruthi reaches B in 6 hrs 20 minutes and the Toyato starting from B, reaches A in 4 hrs 45 minutes. What is the speed of the Toyato, if the speed of the Maruthi is 60 Km/h?

A) 75 kmph B) 80 kmph
C) 86 kmph D) 90 kmph
 
Answer & Explanation Answer: B) 80 kmph

Explanation:

Let the distance between A and B = D

Given the speed of maruthi = 60 kmph

Maruthi reaches from A to B in 6 hrs 20 min = 6 + 20/60 = 6 1/3 hrs

Now, the distance between A & B = D = speed x time = 60 x 19/3 = 380 kms

As the distance is same for toyato also,

given time for toyato = 4 hrs 45 min = 4 + 45/60 = 4 3/4 = 19/4 hrs

speed of toyato = distance/time = 380/19/4 = 380 x 4/19 = 80 kmph.

Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 2391
Q:

Two cars start from a house at an interval of 10 min and travel at a speed of 20 kmph. With how much speed should a woman coming from the opposite direction towards the house travel, to meet the cars at an interval of 8 min?

A) 5 B) 6
C) 7 D) 4
 
Answer & Explanation Answer: A) 5

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

9 2349
Q:

B starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A's speed is a mile in 6 minutes then B's speed is a mile in ____ minutes?

A) 8 B) 10
C) 12 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

5 2325
Q:

A man travels 3⁄4th of the distance of his journey by bus, 1⁄6th by Rickshaw and 2 km on foot. Then total distance travelled by the man is

A) 12 km B) 18 km
C) 20 km D) 24 km
 
Answer & Explanation Answer: D) 24 km

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

3 2303
Q:

A man travels 400 km in, partly by rail and partly by steamer. He spends 9 hours more time on steamer. If the velocity of the steamer is 30 km/hr and the velocity of rail is 70 km/hr, how much distance does he cover by steamer?

A) 309 km B) 371 km
C) 464 km D) 556 km
 
Answer & Explanation Answer: A) 309 km

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

1 2227