A person can complete a journey in 9 hours. He covers the…
A person can complete a journey in 9 hours. He covers the first one-third of the journey at a speed of 10 km/h and the remaining distance at a speed of 20 km/h. What is the total distance traveled?
एक व्यक्ति किसी यात्रा को 9 घंटे में पूरा करता है। वह यात्रा के पहले एक-तिहाई भाग को 10 किमी/घंटा तथा शेष दूरी को 20 किमी/घंटा की गति से तय करता है। कुल दूरी ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
144 km / 144 किमी
Let the total distance be $D$ km.
Time for the first one-third
$=\frac{D/3}{10}=\frac{D}{30}$
Time for the remaining two-thirds
$=\frac{2D/3}{20}=\frac{D}{30}$
Total time
$\frac{D}{30}+\frac{D}{30}=9$
$\frac{D}{15}=9$
$D=135\text{ km}$
Hence, the total distance traveled is 135 km.
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