Question

Timmy drove 2/5 of a journey at an average speed of 20 mph.
He drove the remaining 60 miles at another speed. If the
average speed for the whole journey was 25 mph, what's the
amount of time for the whole journey?

Answer 1

Answer:

4hr

Explanation:

Answer 2

The total time Timmy spent in the whole journey is 4 hours.

The given parameters;

• average speed of Timmy for $\frac{2}{5}$ of the journey = 20 mph
• the remaining fraction of the journey = 60 miles
• average speed of the entire journey = 25 mph

The total distance of the journey is calculated as follows;

$( 1 - \frac{2}{5} ) \times total = 60 \ miles\\\\\frac{3}{5} \times total = 60\\\\total = \frac{60 \times 5}{3} \\\\total = 100 \ miles$

The amount of time for the whole journey is calculated as follows;

$average \ speed = \frac{total \ distance}{total \ time} \\\\total \ time = \frac{100 \ miles }{25 \ mph} \\\\total \ time = 4 \ hours$

Thus, the total time Timmy spent in the whole journey is 4 hours.

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