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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Time and Distance › Time and Distance Worksheet-5

Time and Distance Worksheet-5

Time and Distance Worksheet-5

 

  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 ?

(a) 100 m           (b) 150 m          (c) 190 m           (d) 200 m

 

  1. Two cyclists start from the same place in opposite directions. One goes towards north at 18

kmph and the other goes towards south at 20 kmph. What time will they take to be 47.5 km

apart ?

(a)                                        (b)

(c) 2 hrs. 23 min                          (d)

 

  1. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km / hr. Another train starts from B at 9 a.m. and travels towards A at 75 km / hr. At what time do they meet?

(a) 10 a.m.                                     (b) 10.30 a.m

(c) 11 a.m.                                      (d) 11.30 a.m.

 

  1. The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in :

(a) 4.9 min        (b) 5.28 min     (c) 5.5 min         (d) 6 min

 

  1. A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?

(a) 5                    (b) 6                    (c) 7                    (d) 8

 

  1. Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P ?

(a) 60 kmph                                  (b) 70 kmph

(c) 120 kmph                                 (d) Data inadequate

(e) None of these

 

  1. Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?

(a) 9 : 20            (b) 11 : 9             (c) 11 : 20           (d) None of these

 

  1. Two trains start from P and Q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is :

(a) 500 km        (b) 630 km        (c) 660 km        (d) 900 km

 

  1. Bombay Express left Delhi for Bombay at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16.30 hrs, travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet ?

(a) 120 km         (b) 360 km        (c) 480 km        (d) 500 km

 

  1. A train M leaves Meerut at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10.30 a.m. At what time do the two trains cross each other ?

(a) 7.36 a.m.     (b) 7.56 a.m.     (c) 8 a.m.           (d) 8.26 a.m.

 

  1. A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways, is :

(a) 3 hrs 45 min                            (b) 7 hrs 30 min

(c) 7 hrs 45 min                            (d) 11 hrs 45 min

 

Answer Key:

(1)-a; (2)-a; (3)-c; (4)-b; (5)-c; (6)-b; (7)-b; (8)-d; (9)-c; (10)-b; (11)-c