If a car averages #50 1/3# miles per hour, how many hours will it take to go #47 1/2# miles?

1 Answer
Dec 15, 2016

#285/302~~ 0.9437# of an hour.

Explanation:

The first thing you need to do is to decide what operation you need to do. 'Miles per hour' indicates a speed and 'miles' indicates a distance. The question is 'How many hours?' which means you are trying to find a time:

#"time" = "distance"/"speed"#

So you need to divide two fractions.

  • change to improper fractions
  • multiply by the reciprocal of the second fraction
  • cancel where possible and simplify.

#47 1/2 div 50 1/3#

=#95/2 div 151/3#

=#95/2 xx 3/151#

=#285/302# of an hour. This does not simplify further.

As a decimal this gives #0.9437#

Which is about #56.6# minutes.