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An employee at Kennedy Space Center (KSC) lives in Daytona Beach and works in the vehicle assembly building (VAB). She
carpools to work with a colleague. She drives 7 miles from her house to the park-and-ride. Then she rides with her colleague from the
park-and-ride in Daytona Beach to the KSC headquarters building, and then takes the KSC shuttle from the headquarters building to
the VAB. The drive from the park-and-ride to the headquarters building is of her total trip, and the shuttle ride is of her total trip.
How many miles does she travel from her house to the VAB on days her colleague drives?

Respuesta :

Using proportions, it is found that she travels 60 miles from her house to the VAB on days her colleague drives.

What is the missing information?

  • The drive from the park-and-ride to the headquarters is 5/6 of her trip.
  • The shuttle ride is 1/20 of her trip.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The first step is finding the fraction corresponding to the 7 miles, hence considering that the total is of 100% = 1 and the fractions given above, we have that:

1 - 5/6 - 1/20 = 1 - 0.8333 - 0.05 = 0.1167.

The 7 miles represent 0.1167 of the trip, hence:

0.1167x = 7

x = 7/0.1167

x = 60.

She travels 60 miles from her house to the VAB on days her colleague drives.

More can be learned about proportions at https://brainly.com/question/24372153

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