Question

Basit traveled from his home to office at an average speed of 20mph and returned home from the same route at the speed of 30mph.what was his average speed for the entire trip?

Answer 1

25 miles an hour. To find the answer you need to take the two speeds and add them up. Then you divide the answer by the amount of numbers you had

Answer 2

Average speed of the entire trip is equals to $24 mph$.

What is average speed?

" Average speed is defined as the total distance travelled in total time taken."

Formula used

Average speed $= \frac{Total distance travelled}{total time taken}$

According to the question,

Given,

Average speed from home to office $= 20mph$

Average speed from office to home $=30mph$

$'x'$ represents the distance between home and office

$'h_{1}'$ represents the time taken from home to office

$'h_{2}'$ represents the time taken from office to home

Substitute the value in the formula we get,

$20 =\frac{x}{h_{1} }\\\\\implies h_{1} = \frac{x}{20}$                                ______$(1)$

$30 =\frac{x}{h_{2} } \\\\\implies h_{2} = \frac{x}{30}$                               ______$(2)$

Substitute the value form $(1)$ and $(2)$ in average speed we get,

Average speed $= \frac{x+ x}{h_{1} +h_{2} }$

                          $= \frac{x+x}{(\frac{x}{20}+ \frac{x}{30})}\\\\= \frac{2x}{\frac{3x+2x}{60} } \\\\= \frac{2x\times 60}{5x}\\ \\= 24 mph$

Hence, average speed of the entire trip is equals to $24 mph$.

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