Tuesday 16 June 2015

17. TIME AND DISTANCE - 1 st part

1.(i) Find the distance covered by a man walking for 10 minutes at a speed of 6 km/h.[Ans.(a)1 km]
 (a) 1 km  (b) 0.5 km  (c) 1.5 km  (d) 2 km (e) None

(ii) Find the time taken to cover a distance of 125 km by a train moving at a speed of 50 km/h.               [Ans. (c) 2.5 h]
(a) 2 hour (b) 4.5 hour(c) 2.5 hour(d) 2 hour(e) None

(iii) A train covers a distance of 1250 km in 25 hours. Find the speed of the train [Ans. (c) 50 km/h]
(a) 45km/h (b) 60km/h (c)50 km/h (d)48 km/h (e) None

(iv) Sound travels 330 meters/seconds. How many kilometers is a thunder-cloud distant when the sound follows the flash after 10 seconds?    [Ans. (c) 3.3 km]
(a) 5 km(b) 3.5 km(c) 3.3 km(d) 2 km(e) None

(v) A man crosses a street 600 m long in 5 min. His speed in kilometers per hour is…           
(a) 7.2 km/h (b) 5/36 km./h (c) 3.6 km/h  (d) 5/18 km/h             

(vi) The distance of the sun from the earth is 14,34,00,000 km and light travels from the former to the latter in 7 minutes and 58 seconds. Find the velocity of light per second.                             
(a) 3,00,000, km/s  (b) 30,000 km/s  (c) 3 × 106 km/s  (d) can’ n be determined  (e) None of these

(vii) The wheel of an engine 4& 2/7 meters in circumference makes seven revolutions in 4 seconds. Find the speed of the train in km/h.  [Ans. (d) 27 km/h]
(a) 18 km/h  (b) 24 km/h  (c) 36 km/h  (d) 27 km/h  (e) None

(viii) A train travels 92.4 km/hr. How many meters will it travel in 10 minutes?                         
(a)15.4 m(b) 1540 m (c) 15400 m(d) 154 m (e)None of these  

2. (i) Two men A and B start from a place P walking at 3 km/h and 3.5 km/h respectively. How many km will they be apart at the end of 3 hours, if they walk in opposite direction?                                                               
(a) 13 km    (b) 12 km   (c) 16.5 km    (d) 19.5 km    (e) None

(ii) Two men A and B start from a place P walking at 5.5 km/h and 6.5 km/h respectively. How many km will they be apart at the end of 5 hours, if they walk in opposite direction?
(a) 60 km    (b) 50 km     (c) 45 km      (d) 30 km       (e) None

3. (i) Two men A and B start from a place P walking at 3 km and 3.5 km an hour respectively. How many km will they be apart at the end of 3 hours, if they walk in same direction?
(a) 3 km     (b) 2 km      (c) 6.5 km        (d) 1.5 km     (e) None

(ii) One man takes 100 steps a minute, each 5 decimeters long, another walks 4 km an hours, if they start together , how soon will one of them be 75 meters ahead to the other?
(a)3 min 30 sec(b)2 min 40 sec (c)4 min 20 sec (d)4 min30 sec      

4. (i) A man is walking at a speed of 12 km/h. After every km he takes rest for 12 minutes. How much time will he take to cover a distance of 36 km?                        [Ans. (a) 10 hours]
(a) 10 hours (b) 12 hours (c) 10.5 hours (d)11 hours(e) None

(ii) A man rides at the rate of 18 km an hour, but stops 6 minutes to change hours at the end of every 7th km. how long will he take to go a distance of 90 km? [Ans. (b) 6hrs 12 min]
(a) 6 hrs  (b) 6 hrs 12 min (c) 6 hrs 15 min(d) None 

(iii) A man rides at the rate of 20 km an hour, but stops 10 minutes to change hours at the end of every 25th km. how long will he take to go a distance of 175 km [Ans. (b) 9hrs 45 min]
(a) 9 hrs15min (b) 9 hrs45min (c) 10hrs (d) 8hrs 45min

5. (i) A train travels 150 km in 5 hours and 250 km in 3 hours. Find the average speed of train.                  [Ans. (a) 50km/hr]
(a) 50 km/hr (b) 60 km/hr (c) 100 km/hr (d) 80 km/hr (e) none

(ii) A car during its journey travels 2 hrs at a speed of 25 km/hr another 4 hrs at a speed of 30 km/hr and 4 hours at a speed of 35 km/hr. find its average speed of the car.
(a) 62 km/hr (b) 31km/hr (c) 29 km/hr (d) 58 km/hr

6. (i) A man rode out a certain distance by train at the rate of 30 km/hr and walked back at the rate of 12 km/hr. The whole journey took 3.5 hours. What distance did he ride?      
(a) 30km   (b) 16km  (c) 3 km  (d) 8 km  (e) none of these

(ii) A man rode out a certain distance by train at the rate of 13km an hour and walked back at the rate of 12 km per hour. The whole journey took 5 hours. What distance did he ride?    
(a) 32km  (b) 26km  (c) 31.2 km (d) 26.5 km (e) none of these

7. (i) A motor car do a journey in 10 hrs, the first half at 21 km/h and the second half at 24 km/h. find the distance.
(a) 324 km (b) 221 km    (c) 226 km      (d) 224 km   (e) None

 (ii) A motor car does a journey in 9 hrs, the first half at 12 km/h and the second half at 15 km/h. find the distance.
(a) 100 km (b) 200 km    (c) 130 km     (d) 120 km    (e) None

8. (i) A boy goes to school with the speed of 3 km/h & returns with a speed of 2 km/h. If he takes 5 hours in all, the distance in km between the village & the school is:          
(a) 6 km     (b) 7 km          (c) 8 km        (d) 9 km       (e) None

(ii) A car completes a certain journey in 8 hours. It covers half the distance at 40 km/h and the rest at 60 km/h. the length of the journey in km is:  [Ans. (b) 384]
(a) 192     (b) 384          (c) 400        (d) 420      (e) None

9. (i) A person has to cover a distance of 15 km in 3 hrs. If he covers 1/3 rd of the journey in 2/3 rd of the time what should be his speed to cover the remaining distance in the time left?
(a) 12 km/hr   (b) 10 km/hr   (c) 5 km/hr   (d) 15 km/hr

(ii) A person has to cover a distance of 60 km in 15 hrs. If he covers 1/4th  of the journey in 2/5 th  of the time what should be his speed to cover the remaining distance in the time left?
(a) 5 km/hr   (b) 16 km/hr   (c) 5 km/hr   (d) 15 km/hr

(iii) A person has to cover a distance of 40 km in 5 hrs. If he covers 1/5 th  of the journey in 3/5 th time what should be his speed to cover the remaining distance in the time left?
(a) 12 km/hr  (b) 3 km/hr  (c) 16 km/hr  (d) 15 km/hr (e) None

10. (i)  A person travels for 4 hrs at the speed of 30 km/hr and for 6 hrs at the speed of 40 km/hr. At the end of it, he finds that he has covered 3/4 th of the total distance. At what average speed should he travel to cover the remaining distance in 3 hrs?                                                        
(a) 40 km/hr (b) 35 km/hr (c) 45 km/hr (d) 60 km/hr

(ii) A person travels for 3 hrs at the speed of 12 km/hr and for 4 hrs at the speed of 15 km/hr. At the end of it, he finds that he has covered 4/5 th  of the total distance. At what average speed should he travel to cover the remaining distance in 6 hrs?         
(a) 6 km/hr (b) 8 km/hr (c) 4 km/hr (d) 5 km/hr (e) none 

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