Question

Ragav took a bus from home to market that travels at 40 kmph. While walking back at 4 kmph halfway through he suddenly realised he was getting late and he cycled back the remaining distance in 30kmph find the average speed

Answer 1

Here is your solution.

Answer 2

The average speed  is 12 kmph

Step-by-step explanation:

Given:

Ragav  travel by  bus from home to market  at 40 kmph.

By walking back at 4 kmph halfway.

By cycling  the remaining halfway distance at  30kmph

To Find:

The average speed.

Formula Used:

Average speed = Total distance/Total Time

Solution:

Let the distance (one way) is 2P.

Time taken by bus travel $=\frac{2P}{40}$  hours

Time taken By walking  $=\frac{P}{4}$ hours

Time taken By cycling $=\frac{P}{30}$  hours

Average speed = Total distance/Total Time

 Total distance  = 4P km

Total time  $=\frac{P}{20} +\frac{P}4} +\frac{P}{30}$

                 $=\frac{3+15+2}{60} \times P$

                 $=\frac{20}{60} \times P$

                 $=\frac{P}{3}$

Putting the values of Total distance  and Total time in formula no.01

Average speed = Total distance/Total Time

                            $= \frac{4P}{(\frac{P}{3} )}$

                            $=\frac{4P\times3}{P}$

                            = 12 kmph

Thus, average speed  is 12 kmph