Question
Find the distance travelled (in km) by the truck to
reach point B from point A, if a car cover 45% the same distance in 2 hours 42 minutes and a truck covers 50% of the distance in 7 hours. The sum of speed of the car and truck is 160 km/hr.Solution
Let speed of car be s kmph
Time taken by car travel total distance = 100/45 x 2.7 = 6 hrs
Time taken by truck to cover total distance = 100/50 x 7 = 14 hrs
so, s x 6 = (160 - s) x 14
6s = 2240 - 14s
so, riquired distance = 112 x 7 = 784 km
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