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Rahat completes 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.

Rahat completes 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. Correct Answer 224 km

Total time taken = 10 hrs Let the time taken for first half of journey = x hours So, 21x = (10 – x) <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo></math> 24 or, 21x = 240 – 24x or, 45x = 240 or, x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>21</mn><mo>&#xA0;</mo><mo>&#xD7;</mo> <mo>&#xA0;</mo><mfrac><mn>48</mn><mn>9</mn></mfrac><mo> + </mo><mn>24</mn><mo>&#xA0;</mo><mfenced><mrow><mn>10</mn><mo> - </mo><mo>&#xA0;</mo><mfrac><mn>48</mn><mn>9</mn></mfrac></mrow></mfenced></math> Hence, total journey = 21x + (10 - x) 24 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>42</mn><mn>9</mn></mfrac></math> = 21x + (10 – x) 24 = 112 + 112 = 224 km

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