Time and Distance Questions


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.


The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 kms B) 482 kms
C) 552 kms D) 556 kms
Answer & Explanation Answer: C) 552 kms


Total distance travelled in 12 hours    =(35+37+39+.....upto 12 terms)
This is an A.P with first term, a=35, number of terms,
n= 12,d=2.
Required distance    = 12/2[2 x 35+{12-1) x 2]
= 552 kms.

Report Error

View Answer Workspace Report Error Discuss

72 19088

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?

A) 100 m B) 150 m
C) 190 m D) 200 m
Answer & Explanation Answer: A) 100 m


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

Distance covered in 6 minutes  = (1/60) x 6 km   = 1/10 km = 100 m

Therefore, Distance between the thief and policeman = (200 – 100) m = 100 m.

Report Error

View Answer Workspace Report Error Discuss

39 12432

How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr?

A) 50 sec B) 52 sec
C) 54 sec D) 56 sec
Answer & Explanation Answer: D) 56 sec


Speed = 9 km/hr = 9 x (5/18) m/sec = 5/2 m/sec   

Distance = (35 x 4) m = 140 m.

Time taken = 140 x (2/5) sec= 56 sec

Report Error

View Answer Workspace Report Error Discuss

28 8411

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h B) 160 km/h
C) 67.5 km/h D) None of these
Answer & Explanation Answer: B) 160 km/h





Report Error

View Answer Workspace Report Error Discuss

27 7862

Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?

A) 30 km/h B) 15 km/h
C) 25 km/h D) 20 km/h
Answer & Explanation Answer: D) 20 km/h


If the speed of the faster horse be fs and that of slower horse be ss then


and       50ss-50fs=56

Now, you can go through options.

The speed of slower  horse is 20km/h

Since,   20+30=50

and  5020-5030=56    

Report Error

View Answer Workspace Report Error Discuss

36 7801

A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

A) 600 B) 750
C) 1000 D) 1250
Answer & Explanation Answer: D) 1250


speed    = (5x5/18)m/sec
             = 25/18 m/sec.

Distance covered in 15 minutes    = (25/18 x 15 x 60)m
                                                 = 1250 m.

Report Error

View Answer Workspace Report Error Discuss

42 7715

A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is 

A) 4 hours B) 4 hours 30 minutes
C) 4 hours 45 minutes D) 5 hours
Answer & Explanation Answer: C) 4 hours 45 minutes


Time taken in walking both ways = 7 hours 45 minutes                     --------(i)

Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)

By equation (ii)*2 -(i), we have

Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes

                                                        = 4 hours 45 minutes

Report Error

View Answer Workspace Report Error Discuss

25 7046

The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is

A) 720 B) 180
C) 75 D) 65
Answer & Explanation Answer: C) 75


The hour hand moves from pointing to 12 to pointing to half way between 2 and 3. The angle covered between each hour marking on the clock is 360/12 = 30. Since the hand has covered 2.5 of these divisions the angle moved through is 75.

Report Error

View Answer Workspace Report Error Discuss

13 6949