Direction: Study the following information carefully and answer the questions given below: |
Train P and Train Q are travelling towards each other from stations X and Y respectively. Train P left station X at 9 : 35 am at speed of 70 km/hr. After half an hour train Q starts at the speed of 80 km/hr from station Y for X. Station X and Y are situated at a distance of m km and both the trains meet each other at 2 : 45 pm the same day. |
A) \[\frac{129}{3}hr\]
B) \[\frac{125}{5}hr\]
C) \[\frac{226}{3}hr\]
D) \[\frac{205}{3}hr\]
E) None of these
Correct Answer: C
Solution :
In \[\frac{1}{2}hr\]tram P will cover =35 km The time at which both trains meet is 2 : 45 PM. \[\therefore \] Time taken = 2 : 45 PM \[-\] (9 : 35 + 30) AM \[=4:40\,m=4\frac{2}{3}=\frac{14}{3}hours\] Distance between X and Y is m km. Then \[m=35+\frac{14}{3}\times 150=35+700=735\,km\] Total time taken in given condition \[=\left( \frac{1}{2}+\frac{14}{3} \right)hours=\frac{3+28}{6}=\frac{31}{6}hr\] New time taken according to the given condition. \[=\frac{735+1\times 70}{(80-70)}=\frac{735+70}{10}=\frac{805}{10}h\] \[\therefore \] Reqd difference\[=\frac{805}{10}-\frac{31}{6}\] \[=\frac{2415-155}{30}=\frac{2260}{30}=\frac{226}{3}h\]You need to login to perform this action.
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