Question
Find the distance travelled (in km) by the truck to
reach point B from point A, if a car cover 13% the same distance in 2.6 hours and a truck covers 50% of the distance in 6 hours. The sum of speed of the car and truck is 200 km/hr.Solution
Let total distance = D km Car covers 13% of D in 2.6 hours Speed of car = 0.13D / 2.6 = 0.05D Truck covers 50% of D in 6 hours Speed of truck = 0.5D / 6 = D / 12 = 0.0833D Sum of speeds = 200 0.05D + D/12 = 200 (3D + 5D) / 60 = 200 8D / 60 = 200 2D / 15 = 200 D = 1500 Distance between A and B = 1500 km
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