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Let the speed of bike be 'v' km/h. Speed of car = '1.2v' km/h So, (120/1.2v) - (80/v) = (30/60) Or, (100/v) - (80/v) = (1/2) Or, (20/v) = (1/2) Or, 'v' = 40 Speed of auto = (v + 1.2v) ÷ 2 = 1.1v = 1.1 X 40 = 44 km/h Therefore, required time = (154/44) = 3.5 hours = 3.5 X 60 = 210 minutes
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