A car covers four successive 7km distances at speeds of 10 km/ho

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41.

A car covers four successive 7km distances at speeds of 10 km/hour, 20 km/hour, 30 km/hour and 60 km/hour respectively. Its average speed over this distance is

  • 30 km/hour

  • 20 km/hour

  • 60 km/hour

  • 60 km/hour


B.

20 km/hour

Total distance covered = 7 x 4 = 28 km
Total time taken
equals space open parentheses 7 over 10 plus 7 over 20 plus 7 over 30 plus 7 over 60 close parentheses space hours
equals space open parentheses fraction numerator 42 plus 21 plus 14 plus 7 over denominator 60 end fraction close parentheses hours
equals space 84 over 60 space hours space equals space 7 over 5 space hours
Average Speed

equals space fraction numerator Total space distance space covered over denominator Total space time space taken end fraction space equals space open parentheses fraction numerator 28 over denominator begin display style 7 over 5 end style end fraction close parentheses space kmph
equals space fraction numerator 28 space cross times space 5 over denominator 7 end fraction space equals space 20 space kmph

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42.

If a man walks at the rate of 5 km/hour, he misses a train by 7 minutes. However if he walks at the rate of 6 km/hour, he reaches the station 5 minutes before the arrival of the train. The distance covered by him to reach the station is

  • 6 km

  • 7 km

  • 6.25 km

  • 6.25 km

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43.

A man starts from a place P and reaches the place Q in 7 hours. He travels 1 fourth th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance between P and Q is

  • 72 km

  • 90 km

  • 80 km

  • 80 km

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44.

A car can finish a certain journey in 10 hours at the speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must be increased by

  • 12

  • 15

  • 18

  • 18

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45.

On a river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 minutes. How long would it take to go from R to P?

  • 313 hours

  • 5 hours

  • 326 hours

  • 713 hours

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46.

A man travels for 14 hours 40 min. He covers half of the journey by train at the rate of 60 km/hr and rest half by road at the rate of 50 km/hr. The distance travelled by him is

  • 720 km

  • 800 km

  • 960 km

  • 960 km

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47.

Sound travels 330 m in a second. When the sound follows the flash of lightning after 10 sec, the thunder cloud will be at a distance of

  • 1300 m

  • 2000 m

  • 3650 m

  • 3650 m

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48.

A man travelled a distance of 61 km in 9 hours, partly by walking at a speed of 4 km/hr and partly on bicycle at speed of 9 km/hr. The distance covered by walking is

  • 16 km

  • 12 km

  • 15 km

  • 15 km

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49.

The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at a speed of 35 km/hr and 25 km/hr respectively. If the cars run in the same direction, then they will meet after (in hours):

  • 6.5

  • 6.2

  • 6

  • 6

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50.

Sound travels at 330 m/sec. The distance (in km) of a thunder cloud when its sound follows the flash after 10 sec is

  • 0.33 km

  • 3.3 km

  • 33 km

  • 33.3 km

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