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A and B run a km and A wins by 1 minute....

A and B run a km and A wins by 1 minute. A and C run a km and ‘A’ wins by 375 metres. B and C run a km and B wins by 30 seconds. Find the time taken by each to run a km.

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AI Generated Solution

To solve the problem, we need to determine the time taken by A, B, and C to run a kilometer based on the information provided. Let's denote: - \( t_A \): time taken by A to run 1 km - \( t_B \): time taken by B to run 1 km - \( t_C \): time taken by C to run 1 km ### Step 1: Analyze the first race between A and B A wins by 1 minute, which means when A finishes 1 km, B has not yet finished. ...
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In a race of 1 km A beats B by 40 m and 5 seconds. Find the time taken by A to run 1 km?

In a kilometre race, if A gives B, a start of 40 metres, then A wins by 19 seconds, but if A gives B, a start of 30 seconds then B wins by 40 metres. Find the time taken by each to run a kilometre.

Knowledge Check

  • A and B run a kilometre and A wins by 25 sec. A and C run a kilometre and A wins by 275m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometre is

    A
    2min 25 sec
    B
    2min 50sec
    C
    3min 20sec
    D
    3min 30 sec

  • A and B run a kilometre and A wins by 25 seconds. A and C run a kilometre and A wins by 275 m. B and C run the same distance and B wins by 30 sec. The time taken by A to run a kilometer is

    A
    2 min 25 sec
    B
    2 min 50 sec
    C
    3 min 20 sec
    D
    3 min 30 sec

  • A race course is 400 metres long. A and B run a race and A wins by 5 metres. B and C run over the same course and B wins by 4 metres. C and D run over it and D wins by 16 metres. If A and D run over it, then who would win and by how much ?

    A
    A by 8.4 metres
    B
    D by 8.4 metres
    C
    D by 7.3 metres
    D
    A by 7.3 metres

    • Similar Questions

    Explore conceptually related problems

    In a 1 km race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 m, Find the time taken by A to run 1 km.

    In a 1 km race A gives B a startup of 5 second and still wins over B by 15 seconds. The ratio of speed of A and B is 2:1 Find the time taken by A to finish 2.5 km race.

    In a 1 km race A gives B startup of 5 seconds and still wins over B by 15 seconds. The ratio of speeds of A and B is 2 : 1. Find the time taken by A to finish 2.5 km race.

    A can run one km in half a minute less time than B. In a kilometre race, B gets a start of 100 metres and loses by 100 metres. Find the time A and B take to run a kilometre—

    In a flat race, A beats B by 15 metres and C by 29 metres. When B and C run over the course together, B wins by 15 metres. Find the length of the course—

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