A man travelled a distance of 61 km in 9 hours, partly by walkin

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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

237 Views

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

501 Views

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

1346 Views

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

173 Views

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


A.

16 km

Let the distance covered by walking be x km.
∴  Distance covered by bicycle  = (61 - x) km.
According to the question,
   straight x over 4 space plus space fraction numerator 61 minus straight x over denominator 9 end fraction space equals space 9
rightwards double arrow space space fraction numerator 9 straight x plus 244 minus 4 straight x over denominator 36 end fraction space equals space 9
rightwards double arrow space space space 5 straight x space plus space 244 space equals space 324
rightwards double arrow space space space space 5 straight x space equals space 80
rightwards double arrow space space space straight x space equals space 16 space 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

177 Views

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

97 Views

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