Trains A and B are traveling on the same route heading towards the same destination Tran B has alrea...........

Quantitative Aptitude ( CCS) Problems on trains

Trains, A and B are traveling on the same route heading towards the same destination. Tran B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been traveling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?

100

180

116

Data Inadequate

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Explanation:

let a = Train A's speed
let b = Train B's speed

1(a + b) = 220
11(a - b) = 220
Simplify both equations, divide the 1st by 1, divide the 2nd by 11, you have:
a + b = 220
a - b = 20
addition eliminates b, find a
2a = 240
a = 240/2
a = 120 km/h, the speed of train A

120 + b = 220
b = 220 - 120
b = 100 km/h the speed of train B

Hence, option 1 is the correct answer.