CTET Maths - Algebra

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36. A bus is running with a uniform speed of 37 km/h. What distance will be covered by bus in 8 h?

  • Option : C
  • Explanation : Here,S = 37 km/h and t = 8 h. Distance = Speed x Time = 37 x 8km = 296km
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37. Ram and Shyam are moving in the directions opposite to each other. The speeds of both persons are 10 km/h and 6 km/h, respectively. Find the speeds of Ram with respect to Shyam.

  • Option : B
  • Explanation : Speed of Ram with respect to Shyam is (10 + 6) = 16 km/h
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38. Aashutosh can cover a certain distance in 84 min by covering 2/3rd of distance at 4 km/h and the rest at 5 km/h. Find the total distance.

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39. Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2: 7. Find the ratio of time taken by A and B to reach from X to Y.

  • Option : D
  • Explanation :

    Let the speed of train A and B be 2x
    and 7x respectively.
    ∴Speed = Distance/Time
    ⇒Speed ∝ 1/Time [distance = constant]
    ∴ Required ratio, TA : TB = SB : SA
    =7:2

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40. Rani coveres a certain distance by car driving at 5 km/h and returns the starting point riding on a scooter at 2 km/h. Find her average speed for the whole journey.

  • Option : B
  • Explanation : Let the distance on one side be 1 km.
    Average speed = 2xy/(x+y)
    =(2 x 5 x 2)/(5+2) = 20/7 =
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