Question

numericals 1. A car travels from town A to town B that is 150 km away in 3 hours and from town B to town C which is 120 km away in 2 hours. Find the average speed of the car. ​

Answer 1

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Let the age of father be x years

Let the age of one of his children be y years and age of other children be z years

From given information,

x=2×(y+z)...(1)

After 20 years,

(x+20)=(y+20)+(z+20)...(2)

Substituting value of (1) in (2), we get

2×(y+z) +20=y+z+40

2y+2z−y−z=40−20

y+z=20...(3)

Substituting value of (3) in (1), we get

x=2×(20)

______________⇒x=40

Answer 2

The average speed of car is 54 km/hr

Given:

Distance travelled by car in 3 hours=150 km

Distance travelled by car in 2 hours=120 km

We know that the average speed of the particle is defined as the total distance covered per unit time

According to question

Let v be the average speed of the particle given by

$v \: = \: \frac{150 \: + \: 20}{3 \: + \: 2} \\ v \: = \: 54 \: \: km/hr$

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