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Speed changes by a ratio and the time changes by known minutes: find the time

This type of question, asked 4 times: CDS 2 2016, CDS 1 2020, CDS 1 2021, CDS 1 2025. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    18
    When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the original speed ?

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  2. Question 2

    CDS 1 2020

    44
    In covering certain distance, the average speeds of XX and YY are in the ratio 4:54 : 5. If XX takes 45 minutes more than YY to reach the destination, then what is the time taken by YY to reach the destination?

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  3. Question 3

    CDS 1 2021

    35
    Walking at 45\frac{4}{5}th of his usual speed, a man is 12 minutes late for his office. What is the usual time taken by him to cover that distance?

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  4. Question 4

    CDS 1 2025

    46
    Travelling at 3/5th3/5^{\text{th}} of his usual speed, a man is late by 20 minutes. What is the usual time if he travels with his usual speed ?

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