Kenneth drove 194.3 miles in 3 7/20 hours. What was his average speed?

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Answer 1 · 2017-01-22T11:48:24

58 miles per hour

In this case average means; what is the one value that if multiplied by the total time (in hours) will give 194.3 miles.

We do this by ending up with the distance traveled in 1 hour (unit time)

Using ratio $color(brown)(->" miles per hour "-> ("miles")/("hours") ->m/h -> 194.3/(3 7/20))$

So we need to change the $3 7/20$ into 1

Divide top and bottom by $3 7/20$

$m/h-=(194.3-: 3 7/20)/(3 7/20-: 3 7/20)$

$m/h = (194-:3 7/20)/1$

$m/h = 58/1$

So the average speed is 58 miles in 1 hour $->$ 58 miles per hour

Answer 2 · 2017-01-22T12:49:33

$58 mph$

194.3miles in $3 7/20$ hours

= 194.3 miles in $67/20=3.35 hours$

$3.35hours=194.3$ miles

$1 hour=1/3.35 xx 194.3/1=58mph$

check:

$58mph xx 3.35hours=194.3$ miles