Question

A car travels 30 km with a speed of 40 km/h and
the next 30 km with a uniform speed of 20 km/h.
Find its average speed.​

Answer 1

Answer:

Your solution

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Answer 2

✬ Average Speed = 26.67 km/hr ✬

Explanation:

Given:

• A car travels 30 km with a speed of 40 km/h
• It travels next 30 km with a uniform speed of 20 km/h

To Find:

• What is the average speed of the car?

Solution: We know that

• Time = Distance/Speed

★ In first case ★

• Distance¹ = 30 km
• Speed = 40 km/h

$\small\implies{\sf }$ Time¹ = 30/40

$\small\implies{\sf }$ 3/4 hours

★ In second case ★

• Distance² = 30 km
• Speed = 20 km/h

$\small\implies{\sf }$ Time² = 30/20

$\small\implies{\sf }$ 3/2 hours

• Total time taken by care = T¹ + T² •

$\small\implies{\sf }$ 3/4 + 3/2 [ Take LCM ]

$\small\implies{\sf }$ 3 + 6/4

$\small\implies{\sf }$ 9/4 hours.

• Total distance covered by car = D¹ + D² •

$\small\implies{\sf }$ 30 + 30

$\small\implies{\sf }$ 60 km

★ We know that Average Speed = Total Distance/Total Time ★

$\small\implies{\sf }$ Average Speed = 60/9/4

$\small\implies{\sf }$ 60 x 4/9

$\small\implies{\sf }$ 240/9

$\small\implies{\sf }$ 26.666....

Hence, The average speed of car is 26.67 km/hr (approx)