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Narayan walking at a speed of 20 km/h reaches his college 10 minutes late. Next time he increases his speed by 5 km/h, but finds that he is still late by 4 minutes. What is the distance of his college from his house?

A. 10 km

B. 6 km

C. 12 km

D. 15 km

Answer: Option A

Solution(By Examveda Team)

By increasing his speed by 25%, he will reduce his time by 20%. (This corresponds to a 6 minutes drop in his time.)
Hence, his time originally must have been 30 minutes.
Thus required distance = 20 kmph × 0.5 hours = 10 km.

This Question Belongs to Arithmetic Ability >> Speed Time And Distance

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Comments ( 3 )

  1. Mohammad Ali
    Mohammad Ali :
    5 years ago

    Assume that he should reach in x minutes

    Let first he will reach in x + 10 minutes

     Next time he will reach in x + 4 min

    We know that distance = speed x time

    In first case we get

                                   distance =  20(x + 10)

                                  = 20 x + 200

    So in the second case

                                     distance = 25 (x + 4)

                                                     = 25 x + 100

    Equating both we get

                           20 x + 200 = 25 x + 100

                               5 x = 100

                                x = 20 min (actual time)

    So in I case he will reach by x + 10 = 20 + 10 = 30 min

     So in 1 hour he will travel 20 kms

          So in 30 min he will travel 20 x 30 / 60 = 10 kms

    Read more on Brainly.in - https://brainly.in/question/6020722#readmore

  2. MD Rakib
    MD Rakib :
    6 years ago

    1st approach:
    s=20:25
    t=25:20=5:4=30:24
    d=20/2=10 km/hr...(ans)
    2nd approach:
    20*25/25-20*1/10=10 km/hr

  3. Viraj Sawant
    Viraj Sawant :
    8 years ago

    he will reduce his time by 20%...how you calculated this??

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