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

1. 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, Distance covered = Speed × Time 15 = 30x + 4.5(1-x) 15 = 30x + 4.5 – 4.5x 15 = 25.5x + 4.5 25.5x = 15 – 4.5 25.5x = 10.5 x = 10.5/25.5 x = 0.46

As per our assumption, Total distance covered = 30x = 30 × 0.46 = 13.8 km.

2. ## Giveninformation:

• 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.

## Tofind:

Distance covered by the car.

## Formulaused:

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).