Question

A man cover a distance of 24km at the speed of 8km/hr and a distance of 18 km at the speed of 9 km/hr. further he covers a distance of 12 km at the speed of 3km/ hr. what is his average speed in covering whole distance

Answer 1

A man covers 24 km at speed of 8 km
now we have to devide the 8 to 24
the answer is 3 h
another 18 devide by 9 is 2h
another 12 devide by 3 is 4h
distance cover 42 km take a time is 9 h

Answer 2

The average speed is 6km/h.

Given:

A man covers a distance of 24km at the speed of 8km/hr and a distance of 18 km at the speed of 9 km/hr. he covers a distance of 12 km at the speed of 3km/ hr.

To Find:

The average speed in covering the whole distance.

Solution:

To find the average speed in covering the whole distance, we will follow the following steps:

As we know,

Average speed is calculated by taking the ratio of the total distance traveled to the total time taken.

Total distance traveled =

$24 + 18 + 12 = 54km$

Now,

We have to calculate the total time taken by them to travel with a sowed of 8km/h, 9km/h, and 3km/h.

Also,

$speed = \frac{distance}{time}$

Now,

For 24 km time taken =

$24 \div 8 = 3h$

For 18 km time taken =

$\frac{18}{9} = 2h$

For 12 km time taken =

$\frac{12}{3} = 4h$

Total time =

$3 + 2 + 4 = 9h$

Now,

Average speed =

$\frac{total \: distance}{total \: time} = \frac{54}{9} = 6km {h}^{ - 1}$

Henceforth, the average speed is 6km/h.

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