## 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

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## Answers ( )

AnswEr:Total distance covered by the car is

13.8km.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

xkm/hr.Akhil travels rest of the journey by car =

30xATQ,Timecovered by Akhil [walking] =

1 – xhrsExplanation: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 = 0.46As per our assumption,

Total distance covered = 30x = 30 × 0.46 =

13.8km.Answer:Giveninformation: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,distancecoveredbyAkhilthroughcar=30x= 30 × 10.5/22.5

= 14

Hence,thedistancecoveredbythecaris14km(approx).