Answer to Question #196124 in Algebra for Zethembiso

Question

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

Answer 1

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

$65×(x + 0.75) = 104x,$

$39x = 48.75,$

x = 1.25 or 1 hour 15 minutes.

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