To convert the quantities as expressed in the given
problem to standard English units of miles/hour and miles one should consider using
conversion factors. A conversion factor is a fraction which is set up in such a was as
to cancel units we wish to eliminate and leave the desired units. To obtain a
conversion factor, we start with basic definitions which relate the units of measure in
question:
1.00 miles = 1.6092
km
In the stated problem we wish to eliminate the km and
change them to miles. Therefore our conversion factor must be set up so the miles are
in the numerator and the km are in the denominator. We do this by dividing both sides
of the definition by 1.6092 km:
1.00 mile/1.6092 km =
1.6092 km/1.6092km gives us the conversion factor
1 = 1.00
mile/1.6092 km
We can now use the conversion factor 1.00
mile/1.602 km to convert our given quantities.
4,700 km X
(1.00 mile/1.6092km) = 2,920 miles
790 km/hr X (1.00
mile/1.6092 km) = 490 miles/hr
We can see that the time of
the trip is still
T = 2,920 miles / (490 miles/hr) = 5.94
hours
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