If a man walks at the rate of 5 km/hour, he misses a train by 7

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 Multiple Choice QuestionsMultiple Choice Questions

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

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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


A.

6 km

Shortcut Method:
Required distance = open parentheses fraction numerator Product space of space speeds over denominator Difference space of space speeds end fraction space cross times space Difference space in space time close parentheses
      equals space open parentheses fraction numerator 5 space cross times space 6 over denominator left parenthesis 6 minus 5 right parenthesis end fraction space cross times space fraction numerator left parenthesis 7 plus 5 right parenthesis over denominator 60 end fraction close parentheses space km
equals space open parentheses 30 over 1 space cross times space 12 over 60 close parentheses km space equals space 6 space 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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