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Running at $$\frac{5}{4}$$ of his usual speed, an athlete improves his timing by 5 minutes. The time he usually takes to run the same distance is:

A. 30 min.

B. 28 min.

C. 25 min.

D. 23 min.

Answer: Option C

Solution(By Examveda Team)

When the athlete walks at $$\frac{5}{4}$$ of his usual speed then he takes $$\frac{4}{5}$$ of his usual time $$\left( {{\text{As}}\,\,{\text{Speed}}\, \propto \frac{1}{{{\text{Time}}}}} \right)$$    and he saves 5 minutes.
→ Usual time - $$\frac{4}{5}$$ × usual time = 5 minutes
→ $$\frac{1}{5}$$ × Usual time = 5 minutes
Usual time = 25 minutes.

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

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Comments ( 3 )

  1. Rased Khan
    Rased Khan :
    4 years ago

    v1t1=v2t2
    So vt=5v/4(t-5)
    4t=5t-25
    t=25min

  2. Sandeep Guptha
    Sandeep Guptha :
    4 years ago

    Simple, Multiply the Numerator and denominator with the time provided.
    Here, Time = 5 Min
    So, 5*5 / 4*5 = 25 / 20
    Numerator = Usual time=> (25)
    Denominator = Late time =>(20).

  3. Shahidul Islam
    Shahidul Islam :
    5 years ago

    clear

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