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Three travellers starting at different times all meet at once: missing speed or start time

This type of question, asked 2 times: CDS 2 2019, CDS 2 2020. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2019

    5
    Three cars A, B and C started from a point at 5 p.m., 6 p.m. and 7 p.m. respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and xx km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of xx ?

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  2. Question 2

    CDS 2 2020

    38
    X, Y and Z travel from the same place with uniform speeds 4 km/hr, 5 km/hr and 6 km/hr respectively. Y starts 2 hours after X. How long after Y must Z start in order that they overtake X at the same instant ?

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