Question 142
Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between two stations is
Solution
Let distance travelled by one train be 'x' and other train be 'x + 70'
Two trains take same time, thus equation can be written as
$$\frac{D_{1}}{D_{2}} = \frac{S_{1}}{S_{2}}$$
$$\frac{21}{14} = \frac{x+70}{x} \Rightarrow 21x = 14x + 980 \Rightarrow 7x = 980$$
$$\Rightarrow x = 140$$
Distance between two trains $$(2x + 70) = 2(140) + 70 = 350$$ kms
Hence, option A is the correct answer.
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