Question #196124

At 8:15 Bonita left her house to drive to the airport at an average speed of R65km/h. At 9:00 her boyfriend Bernard left Bonita's house and followed her path at an average speed of 104km/h. Bonita and Bernard arrived at the airport at exactly the same time. A linear relationship exist between the time and the distance travelled. The time is dependent on the number of kilometers travelled. Determine the distance from Bonita's house to the airport


1
Expert's answer
2021-05-24T18:40:09-0400

If x is the time in hours Bernard spent on the trip, then:

65×(x+0.75)=104x,65×(x + 0.75) = 104x,

39x=48.75,39x = 48.75,

x = 1.25 or 1 hour 15 minutes.

The distance from Bonita's house to the airport is: 104×1.25=130104×1.25 = 130 km.


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