A train travels the first 200 km of a journey at a speed of 100 km/h and the remaining 150 km at a speed of 75 km/h. What is the average speed (in km/h) of the train for the entire journey?
A train travels the first 200 km of a journey at a speed of 100 km/h and the remaining 150 km at a speed of 75 km/h. What is the average speed (in km/h) of the train for the entire journey?
एक ट्रेन यात्रा के पहले 200 किमी की दूरी 100 किमी/घंटा की गति से तथा शेष 150 किमी की दूरी 75 किमी/घंटा की गति से तय करती है। पूरी यात्रा के लिए ट्रेन की औसत गति (किमी/घंटा में) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
87.5
Solution / समाधान
Total distance:
$= 200 + 150$
$= 350$ km
Time taken for first 200 km:
$= \frac{200}{100}$
$= 2$ hours
Time taken for remaining 150 km:
$= \frac{150}{75}$
$= 2$ hours
Total time:
$= 2 + 2 = 4$ hours
Average speed:
$= \frac{\text{Total Distance}}{\text{Total Time}}$
$= \frac{350}{4}$
= 87.5 km/h
Correct Answer / सही उत्तर: 87.5
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