distance between two stations a and b is 690 kilometre to car starts from a and b towards each other and the distance between them after 6 h

Question

distance between two stations a and b is 690 kilometre to car starts from a and b towards each other and the distance between them after 6 hours is 30 km if the speed of one car is less than the other by 10 km per hour find the speed of each car​

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Kaylee 1 week 2021-09-15T19:12:20+00:00 1 Answer 0 views 0

Answers ( )

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    2021-09-15T19:13:28+00:00

    Answer:

    The speed of the two cars each starting simultaneously from a and b is 50km/h and 60km/h.

    Explanation:

    Step 1 : Let the speed of one car be x then the speed of the other car will be:

    = (x – 10) km/h

    Step 2 : Calculate the distance traveled by each car in 6 hours.

    Distance = Speed × time

    The distance by each car is given by:

    (x × 6) and (6 × (x – 10))

    = 6x and (6x – 60)

    Total distance covered = 6x + 6x – 60 = 12x – 60

    From the question the total distance covered by the two is :

    = 690 – 30 = 660 km

    Step 3 : Equate the two totals and get the value of x.

    12x – 60 = 660

    12x = 660 + 60

    12x = 720

    x = 720/12

    x = 60 km/h

    The speed of the other car is :

    = 60 – 10 = 50 km/h

    HOPE IT HELPS 🙂

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