A cyclist set out at 07h05to reach his office 13 km away at 08h00. After 5 min, he finds out that he has forgotten his briefcase. He rides h

Question

A cyclist set out at 07h05to reach his office 13 km away at 08h00. After 5 min, he finds out that he has forgotten his briefcase. He rides home again at 6 km and then takes 2 min to find the briefcase. Use a graphical method to answer the following questions.
a. How fast must he ride to get to work on time?

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Josie 3 weeks 2021-10-01T20:54:23+00:00 1 Answer 0 views 0

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    2021-10-01T20:56:16+00:00

    Answer:

    Given that a man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed.

    If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train’s departure.

    ⟹ d12 is one time taken and d15 is another time taken.

    The difference between these two times is 20 minutes

    We have to find the distance (in km) from his home to the railway station.

    20 mins is 13rd of an hour.

    ⟹ d12 = d15 + 13

    ⟹ d12 – d15 = 13

    ⟹ 5d−4d60 = 13

    ⟹ d60 = 13

    ⟹ d = 20 km

    The distance (in km) from his home to the railway station is 20 km.

    Important point to remember is that we don’t need to take the actual time here, we can take that difference of 10 minutes before and 10 minutes after which is equal to 20 minutes i.e. 13rd of an hour.

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18:9+8+9*3-7:3-1*13 = ? ( )