Question
The Ghaziabad - Hapur - Meerut EMU and the Meerut - Hapur - Ghaziabad EMU start at the same time from Ghaziabad and Meerut and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has traveled 60 km more than the other . The distance between two stations is?
Answer: Option B
$$\eqalign{
& {\text{At the time of meeting ,}} \cr
& {\text{let the distance travelled by the}} \cr
& {\text{first train be }}x{\text{ km}}{\text{.}} \cr
& {\text{Then distance travelled by the }} \cr
& {\text{second train is (}}x{\text{ + 60) km}} \cr
& \therefore \frac{x}{{16}} = \frac{{x + 60}}{{21}} \cr
& \Rightarrow 21x = 16x + 960 \cr
& \Rightarrow 5x = 960 \Rightarrow x = 192 \cr
& {\text{Hence,}} \cr
& {\text{distance between two stations}} \cr
& {\text{ = (192 + 192 + 60) km}} \cr
& {\text{ = 444 km}}{\text{.}} \cr} $$
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$$\eqalign{
& {\text{At the time of meeting ,}} \cr
& {\text{let the distance travelled by the}} \cr
& {\text{first train be }}x{\text{ km}}{\text{.}} \cr
& {\text{Then distance travelled by the }} \cr
& {\text{second train is (}}x{\text{ + 60) km}} \cr
& \therefore \frac{x}{{16}} = \frac{{x + 60}}{{21}} \cr
& \Rightarrow 21x = 16x + 960 \cr
& \Rightarrow 5x = 960 \Rightarrow x = 192 \cr
& {\text{Hence,}} \cr
& {\text{distance between two stations}} \cr
& {\text{ = (192 + 192 + 60) km}} \cr
& {\text{ = 444 km}}{\text{.}} \cr} $$
Was this answer helpful ?
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