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Question
A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km .hr. Find the total journey in km.
220 km
224 km
230 km
234 km
ANSWER : 2
Descrption
<pre>Let the distance be x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>S</mi><mi>o</mi><mo>,</mo><mfrac><mrow><mfenced><mstyle displaystyle = "true"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle></mfenced><mi>x</mi></mrow><mn>21</mn></mfrac><mo> + </mo><mfrac><mrow><mfenced><mfrac><mn>1</mn><mn>2</mn></mfrac></mfenced><mi>x</mi></mrow><mn>24</mn></mfrac><mo> = </mo><mn>10</mn><mspace linebreak = "newline"/><mo>⇒</mo><mfrac><mi>x</mi><mn>21</mn></mfrac><mo> + </mo><mfrac><mi>x</mi><mn>24</mn></mfrac><mo> = </mo><mn>20</mn><mspace linebreak = "newline"/><mo>⇒</mo><mn>15</mn><mi>x</mi><mo> </mo><mo> = </mo><mo> </mo><mn>168</mn><mo>×</mo><mn>20</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> </mo><mo> = </mo><mfrac><mrow><mn>168</mn><mo>×</mo><mn>20</mn></mrow><mn>15</mn></mfrac><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mn>224</mn><mi>k</mi><mi>m</mi></math> </pre>
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