Multiple Choice Questions on A cyclist covers his first 20 km at an average speed of 40 kmph another 10 km at an average speed of........... for CDS Exam Preparation

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Multiple Choice Questions

A cyclist covers his first 20 km at an average speed of 40 kmph another 10 km at an average speed of...........

Quantitative Aptitude (CDS) Time & distance
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    A cyclist covers his first 20 km at an average speed of 40 kmph, another 10 km at an average speed of 10 kmph and the last 30 km at an average speed of 40 kmph. Then the average speed of the entire journey is

    20 kmph

    Incorrect Answer

    26.67 kmph

    Correct Answer

    28.24 kmph

    Incorrect Answer

    30 kmph

    Incorrect Answer
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    Explanation:

    Let d1, d2 and d3 be 20 km , 10 km and 30 km

    and s1,s2 and s3 be 40 km/hr , 10 km/hr and 40 km/hr respectively

    Hence t1 = d1 / s1 = 20 /40 = 1/2 hr

    t2 = d2/s2 = 10/10 = 1 hr

    t3 = d3/s3 = 30/40 = 3/4 hr

    total distance = 20+10+30 = 60 km

    total time = 1/2 + 1 + 3/4

    = 2+4+3 / 4 = 9 /4

    Speed = Distance / time

    = 60 / (9/4) = 26.67 km/hr

    By: Munesh Kumari
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