Question

A cyclist rides 24 km at 16 km/h and further 36 km/h at 15 km/h. Find his average speed for the journey

Answer 1

Answer:

Average speed of cyclist:15.38 kmph

Step-by-Step Solution:

We know that speed is given by Distance/Time.

To find the average speed of the cyclist;find the total distance covered and total time taken.

A cyclist rides 24 km at 16 km/h

Time taken to travel 24 km= Distance/speed

$= \frac{24}{16} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ \\ = 1 \: hour \: 30 \: min$

Further 36 km/h at 15 km/h

Time taken to travel 36 km= Distance/speed

$= \frac{36}{15} \\ \\ = \frac{12}{5} \\ \\ = 2 \frac{2}{5} \\ \\ = 2 \: hour \: \frac{2 \times 60}{5} \: minutes \\ \\ = 2 \: hours \: 24 \: minutes$

Total distance covered by cyclist =24+36

=60 km

Total time taken= 3 hours 54 minutes

Total time taken in hours =

$3 \frac{54}{60} \\ \\ = \frac{117}{30}hours \\ \\ average \: speed = \frac{60}{ \frac{117}{30} } \\ \\ = \frac{60 \times 30}{117} \\ \\ = \frac{1800}{117}kmph \\ \\ = 15.384 \\ \\ ≈15.38 kmph$

Hope it helps you.

Answer 2

Answer:

average speed for the journey= 15.38 kmph