A man covers a total distance of 100 km on bicycle. For the first

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51.

A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be

  • 12 1 half space km divided by hr

  • 13 km/hr

  • 15 1 over 8 space km divided by hr

  • 20 km/hr


A.

12 1 half space km divided by hr

Distance covered by man in first 2 hours = 2 x 20 = 40 km
Remaining distance  = (100 - 40) = 60 km
Time to cover this 60 km with speed of 10 km/hr
open parentheses 60 over 10 close parentheses km divided by hr space equals space 6 space hours
Required Average speed = open parentheses fraction numerator Total space Distance over denominator Total space Time space Taken end fraction close parentheses
                                 equals space open parentheses fraction numerator 100 over denominator 2 plus 6 end fraction close parentheses space equals space open parentheses 100 over 8 close parentheses space equals space 12 1 half space km divided by hr
                     
              

 

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52.

To cover a distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

  • 65 km/hr

  • 70 km/hr

  • 75 km/hr

  • 80 km/hr

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53.

At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hours. Then the distance between Kolkata and Ranchi is:

  • 560 km

  • 506 km

  • 560 m

  • 650 m

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54.

A bus travels at the speed of 36 km/hr, then the distance covered by it in one second is:

  • 10 m

  • 15 m

  • 12.5 m

  • 13.5 m

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55.

A car moving in the morning fog passes a man walking at 4km/h in the same direction. The man can see the car for 3 min and visibility is upto a distance of 130 m. The speed of the car is:

  • 7 3 over 5 km divided by hr

  • 6 3 over 5 km divided by hr

  • 7 km/hr

  • 5 km/hr

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56.

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

  • 12 km

  • 18 km

  • 20 km

  • 24 km

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57.

A man goes to a place on bicycle at speed of 16 km/hr, and comes back at lower speed. If the average speed is 6.4 km/hr in total, then the return speed (in  km/hr) is

  • 10

  • 8

  • 6

  • 4

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58.

By walking at 3 over 4 of his usual speed, a man reaches his office 20 min later than his usual time. The usual time taken by him to reach his office is

  • 75 min

  • 60 min

  • 40 min

  • 30 min

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59.

Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 min. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 min?

  • 3 km/h

  • 4 km/h

  • 5 km/h

  • 7 km/h

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60.

A student goes to school at the rate of 2 1 half space km divided by hr and reaches 6 min late. If he travels at the speed of 3 km/h, he is 10 min early. The difference (in km) between the school and his house is

  • 5

  • 4

  • 3

  • 1

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