Vacation

Parents piggybacking children on vacation to its grandmother and grandfather at a city distant 150 kilometers. They agreed to meet halfway. Parents will be travel at 90 km/h, grandmother and grandfather at 60 km/h. Parents depart at 12:00 hours. When grandparents have to start to arrive at the appointed place at the same time?

Result

t = 11:35 h Wrong answer

Solution:


90x = 150/2
60y = 150/2
t = 12 +x-y

90•x = 150/2
60•y = 150/2
t = 12 +x-y

180x = 150
120y = 150
t-x+y = 12

t = 139/12 ≈ 11.583333
x = 5/6 ≈ 0.833333
y = 5/4 = 1.25

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