Answer :
Josiah will take 1.5 hours to travel to work at the speed of 55 miles per hour.
As the speed and time are inversely proportional to each other, we can represent it as -
speed(i)/speed(f) = time(f)/time(i), where I represents initial and f represents final. Now, keep the values in formula to find the time (final).
35/55 = time(f)/2.5
Rewriting the equation according to variable time(f).
time(f) = (35×2.5)/55
Performing multiplication on Right Hand Side of the equation
time(f) = 87.5/55
Performing division on Right Hand Side of the equation
time(f) = 1.59 hours
Hence, it will take 1.59 hours.
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The complete question is -
The speed (or rate) Josiah travels to work is inversely proportional to time it
takes to get there. If he travels 35 miles per hour it will take him 2.5 hours to get to work. How long will it take him if he travels 55 miles per hour?