The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. Train A departs at 9 : 20 am and train B departs at 10 : 50 am and they travel towards each other. After how much amount of time will the trains meet? I) Train A travels with a speed of 10 kmph and the difference between the speed of two trains is 6 kmph and both the trains are 160 km apart. II) Train B travels at a speed greater than Train A which travels with 10 kmph by 6kmph separated by a distance of 160 km.
The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. Train A departs at 9 : 20 am and train B departs at 10 : 50 am and they travel towards each other. After how much amount of time will the trains meet? I) Train A travels with a speed of 10 kmph and the difference between the speed of two trains is 6 kmph and both the trains are 160 km apart. II) Train B travels at a speed greater than Train A which travels with 10 kmph by 6kmph separated by a distance of 160 km. Correct Answer If the data given in the statement II alone is sufficient to answer the question whereas the data given in statement I alone are not sufficient to answer the question.
Statement I:
Speed of train A = 10 kmph
Speed of train = 4 kmph or 16 kmph
Thus, statement I provides insufficient data.
Statement II:
Speed of train A = 10 kmph
Speed of train B = 16 kmph
Distance = 160 km
Sum of the distances travelled by both the trains when they meet = 160 km
Let x be the amount of time after which the trains meet
∴ 10x + 16(x – 1.5) = 160
∴ x = 7.077 hours
Thus, statement II provides sufficient data.