Question

a ca car travels the first half of distance between two places at a speed of 40 kilometres per hour and the second half at the speed of 60 km per hour calculate the average speed of the car ​

Answer 1

Answer :-

Average speed of car = 48 km/hr

Explanation :-

Given :-

• 1st half dist. traveled in speed - 40 km/hr
• 2nd half dist. traveled in speed - 60 km/hr

To Find :-

• Average speed of car

Solution :-

Let the distance between the 2 places be = x

.·. Time taken = $\frac{x}{40} +\frac{x}{60}$

.·. Distance traveled = x + x = 2x

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We know that,

Average speed = Total dist. traveled/Total Time taken

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Average speed = $\frac{2x}{\frac{x}{40}+\frac{x}{60} }$

→ $\frac{2x}{\frac{x}{24} }$

→ $\frac{2x*24}{x}$

→ $\frac{48x}{x}$

→ $48km/hr$

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.·. The average speed of car = 48 km/hr

Answer 2

Answer:

Explanation:

Given :-

A car travels first half distance by 40 km/h , second half by 60km/h

Solution :-

Speed of first half distance = 40km/h

Speed of second half distance = 60km/h

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Shortcut for calculating this type of questions is

$\mathsf{\huge{Avg \: Speed \: = {\frac{\: 2v1 v2}{v1 \: + \: v2}}}}$

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A.T.Q,

v1 = 40 km/h

v2 = 60 km/h

_________________[Put values]

» 2 × 40 × 60 / 40 + 60

» 80 × 60 / 100

» 4800/100

» 48

Avg Speed = 48km/h

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