A train overtakes two persons walking along a railway track. The first one walks at 12.6 km/hr.
A train overtakes two persons walking along a railway track. The first one walks at 12.6 km/hr. The other one walks at 30.6 km/hr. The train takes 19.8 and 25.8 seconds, respectively, to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
एक ट्रेन रेलवे ट्रैक पर चल रहे दो व्यक्तियों को पार करती है। पहला व्यक्ति 12.6 किमी/घंटा की गति से चलता है। दूसरा व्यक्ति 30.6 किमी/घंटा की गति से चलता है। ट्रेन उन्हें पार करने में क्रमशः 19.8 सेकंड और 25.8 सेकंड का समय लेती है। यदि दोनों व्यक्ति ट्रेन की दिशा में ही चल रहे हों, तो ट्रेन की गति क्या होगी?
Detailed Solution & Logic
90 km/hr
Let the speed of the train be $x$ km/hr.
Since both persons are walking in the same direction as the train:
Relative speed with first person = $(x - 12.6)$ km/hr
Relative speed with second person = $(x - 30.6)$ km/hr
Length of the train remains same in both cases.
So,
$(x - 12.6)\times 19.8 = (x - 30.6)\times 25.8$
Expanding,
$19.8x - 249.48 = 25.8x - 789.48$
$540 = 6x$
$x = 90$
Therefore, the speed of the train is:
$\boxed{90 \text{ km/hr}}$
Correct option: 90 km/hr
Similar Practice Questions
A robber steals a man’s bag at 5:00 p.m. and starts running at a speed of 10 km/h. The policeman is informed about the robber at 5:12 p.m. and he starts chasing the thief on a bicycle at a speed of 15 km/h. At what time will the policeman catch the robber?
A robber steals a man’s bag at 5:00 p.m. and starts running at a speed...
Diya has to reach Surat, 804 km away, in 24 hours. The initial speed for 9 hours was 58 km/hr. For the next 162 km her speed was 54 km/hr. At what speed will she have to travel now to reach Surat in the stipulated time of 24 hours?
Diya has to reach Surat, 804 km away, in 24 hours. The initial speed for...
The average speed of a car running at 70 km/hr for 1 hour and ‘P’ km/hr for $1\frac{1}{2}$ hour is 55km/hr. Find the value of p
The average speed of a car running at 70 km/hr for 1 hour and ‘P’...
A thief saw a policeman, and he started running
A thief saw a policeman, and he started running at a speed of 18 m/s....
A train is moving at a uniform speed of 80 km/h. What distance will it cover in 30 minutes?
A train is moving at a uniform speed of 80 km/h. What distance will it...
Chetan travels from City A to City B.
Chetan travels from City A to City B. If Chetan drives his car at \(\frac{3}{4}\)...
Two trains, Train A and Train B, 58 seconds
Two trains, Train A and Train B, are running on parallel tracks in the same...