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Same distance at two speeds with a known time difference: find the distance

This type of question, asked 3 times: CDS 2 2019, CDS 1 2022, CDS 2 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2019

    11
    Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha's speed is 8 km/hr whereas Hema's speed is 10 km/hr. Hema takes 9 minutes less than Radha to reach the school. How far is the school from the locality of Radha and Hema ?

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  2. Question 2

    CDS 1 2022

    7
    A man walks at an average speed of 3 km/hr from his residence and reaches office 40 minutes early. If he walks at an average speed of 2 km/hr, he reaches 40 minutes late. What is the distance between his residence and office?

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  3. Question 3

    CDS 2 2023

    14
    A man walks at an average speed of 3 km/hr from his home and reaches office 40 minutes early. If he walks at an average speed of 2 km/hr, he would reach office 40 minutes late. What is the distance between his home and office ?

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