Mathews usually makes the 100 km journey to visit his family. The trip involves three separate stages: a) A stage of 20 km that

Question

Mathews usually makes the 100 km journey to visit his family. The trip involves three separate stages:

a) A stage of 20 km that is travelled on small roads at a constant speed of 30 km/h.

b) A stage of 50 km that is travelled on the highway at a constant speed of 100 km/h.

c) A stage of 30 km that is travelled on standard roads at a constant speed of 40 km/h.

1- How long does it normally take Mathews to make this journey?

Last week there were roadworks on a section of the highway, and he was only able to travel at 60 km/h for the length of the roadworks. Matthews’s journey last week took 6 minutes longer than usual.

2- What was the length of the section of roadworks?

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Mary 3 months 2021-10-13T20:17:32+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-13T20:18:42+00:00

    Answer:

    1 . Total time = 1 hr 55 minutes

    2 Distance = 121 km

    Step-by-step explanation:

    Mattew journey

    stage a

    Distance = 20km

    Speed = 30km/h

    Time = distance/speed

    Time = 20/30

    Time = 2/3 h

    Time = 40 minutes

    Stage b

    Distance = 50 I’m

    Speed = 100 km/h

    Time = distance/speed

    Time = 50/100

    Time = 0.5 h

    Time = 30 minutes

    Stage c

    Distance = 30 km

    Speed = 40 km/h

    Time = distance/speed

    Time = 30/40

    Time = 3/4 h

    Time = 45 minutes.

    Total time taken =( 40 + 30 + 45 ) minutes

    Total time = 115 minutes

    Total time = 1 hr 55 minutes

    2.

    Speed =60 km/h

    Time= 6 minutes + x

    And x = 1 hr 55 minutes

    Time = 1 hr 55 minutes + 6 minutes

    Time = 2 hr 1 minute

    Time = 2.01666667 hr

    Distance covered = speed * time

    Distance = 60*2.016667

    Distance = 121 km

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