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


Expert's answer

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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