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 60% of the distance in 6 hours. The sum of speed of the car and truck is 160 km/hr.

A 600 km Correct Answer Incorrect Answer
B 620 km Correct Answer Incorrect Answer
C 630 km Correct Answer Incorrect Answer
D 650 km Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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 = 100/60 x 6 = 10 hrs
so, s x 6 = (160 - s) x 10
6s = 1600 - 10s
so, riquired distance = 100 x 6 = 600 km

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