Question
A boy travels 20% distance of the total journey by car
and 40% of the remaining by train and taxi in the respective ratio of 5:3 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by Taxi is 192 km, then find the total distance travelled during the whole journey?Solution
Let total distance = 100x Distance covered by car = 20% of 100x = 20x Distance covered by Train = 5/(5+3) × 40% of (100x – 20x) = 20x Distance covered by Taxi = 3/(5+3) × 40% of (100x – 20x) = 12x Distance covered on feet = 100x – 20x – 20x – 12x = 48x Total distance covered by Car and Taxi = 20x + 12x => 32x = 192 km (Given) Total journey = 100 × 192/32 = 600 km
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