TIME & DISTANCE

 

1.         Express a speed of 18 km/hr in meter/sec.

 

2.         Express 10 meter/sec in km/hr.

 

3.         A man covers a certain distance by car driving at 70 km/hr and he returns back to the starting point riding a scooter at 55 km/hr. Find his average speed for the whole journey?

(A) 62.5 km/hr           

(B) 60 km/hr               

(C) 61.6 km/hr            

(D) 65 km/hr

 

4.         A man covers a certain distance between his house and office on scooter. Having an average speed of 30 km/hr, he is late by 10 min. However, with a speed of 40 km/hr, he reaches his office 5 min earlier. Find the distance between his house and office?

(A) 30 km                   

(B) 60 km                   

(C) 15 km                   

(D) 12 km

 

5.         A man walking with a speed of 5 km/hr reaches his target 5 minutes late. If he walks at 6 km /hr, he reaches on time. Find the distance of his target from his house ?

(A) 12 km                   

(B) 6 km                     

(C) 5 km                     

(D) 2.5 km

 

6.         A boy walking at speed of 10 km/hr reaches his school 15 minutes late Next time he increases his speed by 2 km/hr, but still he is late by 5 minutes. Find the distance of school from his house ?

(A) 12 km                   

(B) 10 km                   

(C) 5 km                     

(D) 30 km

 

7.         A boy goes to school at a speed of 3 km/hr and return to the village at speed of 2 km/hr. If he takes 5 hrs in all, what is the distance between the village and the school ?

(A) 12 km                   

(B) 6 km                     

(C) 5 km                     

(D) 3 km

 

8.         A motor car does a journey in 10 hrs, the first half at the speed of 21 km/hr and the second half of 24 km/hr. Find the distance ?

(A) 112 km                 

(B) 168 km                 

(C) 224 km                 

(D) 225 km

 

9.         The distance between two stations, Delhi and Amritsar, is 450 km. A train starts at 4 p.m. from Delhi and moves towards Amritsar at an average speed of 60 km/hr. Another train starts from Amritsar at 3:20 p.m. and moves towards Delhi at an average speed of 80 km/hr. How far from Delhi will the two trains meet and at what time ?

(A) 150 km & 6:50 p.m.         

(B) 160 km & 6:30 p.m.         

(C) 170 km & 6:50 p.m.

(D) 180 km & 6:30 p.m.

 

10.       Walking th of his usual speed, a person is 10 min late to his office. Find his usual time to cover the distance ?

(A) 20 min                  

(B) 40 min                  

(C) 50 min                  

(D) 30 min

 

11.       A train travelling 25 km an hour leaves Delhi at 9 a.m. and another train travelling 35 km an hour starts at 2 p.m. in the same direction. How many km from Delhi will they be together ?

(A) 437.5 km              

(B) 125 km                 

(C) 350 km                 

(D) 250 km

 

12.       Two men, A and B, walks from P to Q, a distance of 21 km, at 3 and 4 km an hour respectively. B reaches Q, returns immediately and meets A at R. Find the distance between P to R ?

(A) 3 km                     

(B) 18 km                   

(C) 6 km                     

(D) 24 km

 

13.       Two guns were fired from the same place at an interval of 13 minutes but a person in a train approaching the place hears the second report 12 minutes 30 sec after the first. Find the speed of the train, supposing that sound travels at 330 meter/sec ?

(A) 37 km/hr              

(B) 48 km/hr               

(C) 47 km/hr

(D) 57 km/hr

14.       A carriage driving in a fog passed a man, who was walking at the rate of 3 km/hr in the same direction. He could see the carriage for 4 minutes and it was visible to him upto a distance of 100 meters. What was the speed of the carriage ?

(A) 3 km/hr                

(B) 4.5 km/hr              

(C) 5 km/hr                 

(D) 6 km/hr

 

15.       A monkey tries to ascend a greased pole 14 meter high. He ascend 2 meters in first minute and slip down 1 meter in the alternate minute. If he continues to ascend in this fashion, how long does he take to reach the top ?

(A) 13 min                  

(B) 14 min                  

(C) 24 min                  

(D) 25 min

 

16.       Two runners covers the same distance at the rate of 15 km and 16 km per hour respectively. Find the distance travelled when one takes 16 minutes longer than the other?

(A) 30 km                   

(B) 64 km                   

(C) 50 km                   

(D) 60 km

 

17.       Two cars run to a place at the speed of 45 km/hr and 60 km/hr respectively. If the second cars takes 5 hrs less than the first for the journey, Find the length of the journey ?

(A) 300 km                 

(B) 225 km                 

(C) 900 km                 

(D) 600 km

 

18.       A man takes 8 hrs to walk to a certain place and ride back. However, he could have gained 2 hrs if he had covered both ways by riding. How log would he have taken to walk both ways ?

(A) 9 hrs                     

(B) 10 hrs                   

(C) 6 hrs                     

(D) 12 hrs

 

19.       A man takes 12 hrs to walk to a certain place and ride back. However, if he walks both ways, he needs 3 hrs more. How long would he have taken to ride both ways ?

(A) 9 hrs                     

(B) 10 hrs                   

(C) 8 hrs                     

(D) 12 hrs

 

20.       Two trains for Patna leave Delhi at 10 a.m. & 10:30 a.m. and travel at 60 km/hr and 75 km/hr respectively. How many kilometers from Delhi will the two trains be together ?

(A) 225 km                 

(B) 100 km                 

(C) 150 km                 

(D) 120 km

 

21.       A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. Another man leaves the point Q at 8 a.m. and reaches the point P at 12 noon. At what time do they meet ?

(A) 9 am                     

(B) 10 am                   

(C) 8 :30 am               

(D) 9:30 am

 

22.       A trains leaves Patna at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 6:30 a.m. and reaches Patna at 10 a.m. At what time do they two trains meet ?

(A) 7:40 am                

(B) 8 am                     

(C) 8 :30 am               

(D) 9:30 am

 

23.       A person covers a distance in 40 minutes if he runs at 45 km per hour on an average. Find the speed of at which he must run to reduce the time of journey to 30 minutes ?

(A) 50 km/hr              

(B) 60 km/hr               

(C) 65 km/hr               

(D) 62.5 km/hr

 

24.       A man travels 360 km in 4 hrs, partly by air and partly by train. If he had travelled all the way by air, he would have saved th of the time he was in train and would have arrived at his destination 2 hrs early. Find the distance he travelled by train ?

(A) 160 km                 

(B) 180 km                 

(C) 150 km                 

(D) 90 km

 

25.       One aeroplane started 30 minutes later than the scheduled time from a place 1500 km away from its destination. To reach the destination at the scheduled time the pilot had to increase the speed by 250 km/hr. What was the speed of the aeroplane per hour during the journey ?

(A) 500 km/hr            

(B) 750 km/hr 

(C) 700 km/hr             

(D) 1000 km/hr

 

26.       An aeroplane started one hour later than its scheduled time from a place 1200 km away from its destination. To reach the destination at the schedule time, the pilot had to increase the speed by 200 km/hr. What was the speed of the aeroplane per hour in normal case ?

(A) 500 km/hr            

(B) 600 km/hr             

(C) 800 km/hr             

(D) 400 km/hr