7. Akhil covered a distance of 15 km in 60 minutes. He covered first part of the journey by walking at 4.5 km/h and the rest of t

Question

7. Akhil covered a distance of 15 km in 60 minutes. He covered first part of the journey by walking at 4.5
km/h and the rest of the journey by a car at 30 km/h. Find the distance covered by the car.​

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Maria 1 month 2021-08-12T15:18:26+00:00 2 Answers 0 views 0

Answers ( )

  1. Charlotte
    0
    2021-08-12T15:19:33+00:00

    AnswEr :

    Total distance covered by the car is 13.8 km.

    Here, we’re provided with some information about akhil. He covers a distance of 15 km in 60 minutes. In 1st part of his journey he covers 4.5 km/h through walking, while rest of journey by a car at 30 km/h.

    Assumptions :

    Let us assume that the total distance covered by Akhil through Car is x km/hr.

    Akhil travels rest of the journey by car = 30x

    ATQ,

    Time covered by Akhil [walking] = 1 – x hrs

    Explanation :

    Now,

    We know that,

    \longrightarrow Distance covered = Speed × Time

    \longrightarrow 15 = 30x + 4.5(1-x)

    \longrightarrow 15 = 30x + 4.5 – 4.5x

    \longrightarrow 15 = 25.5x + 4.5

    \longrightarrow 25.5x = 15 – 4.5

    \longrightarrow 25.5x = 10.5

    \longrightarrow x = 10.5/25.5

    \longrightarrow x = 0.46

    As per our assumption,

    \thereforeTotal distance covered = 30x = 30 × 0.46 = 13.8 km.

  2. Charlotte
    0
    2021-08-12T15:19:52+00:00

    Answer:

    Given information:

    • Akhil covers a distance of 15 km in 60 minutes.
    • He covers first part by walking at the speed of 4.5 km/hr.
    • Rest of the distance is covered by a car at the speed of 30 km/hr.

    To find:

    Distance covered by the car.

    Formula used:

    Distance = Speed × time

    Solution:

    Let’s assume the distance travelled by Akhil through car = x km/hr. Then,

    Time covered by Akhil through walking = 1 – x hr.

    Distance = Speed × time

    ➝ 15 = 30x + 4.5(1 – x)

    ➝ 15 = 30x + 4.5 – 4.5x

    ➝ 15 = 30x – 4.5x + 4.5

    ➝ 15 = 25.5x + 4.5

    ➝ 25.5x = 15 – 4.5

    ➝ 25.5x = 10.5

    ➝ x = 10.5/25.5

    Now, distance covered by Akhil through car = 30x

    = 30 × 10.5/22.5

    = 14

    Hence, the distance covered by the car is 14 km(approx).

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