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ICSE Class 10 Answered

The time taken by a person to cover 150km was 2.5hours more than the time taken in return journey. If he returned at a speed of 10km/hr more than the speed of going, what was the speed per hour in each direction.
Asked by dibyamrao000 | 31 May, 2018, 08:50: AM
answered-by-expert Expert Answer
begin mathsize 16px style let space the space time space be space straight t space hours space for space return space journey for space main space journey space time space taken space is space straight t plus 2.5 space hours speed equals fraction numerator 150 over denominator straight t plus 2.5 end fraction return space journey speed equals 150 over straight t space which space is space 10 km divided by hr space more space than space fraction numerator 150 over denominator straight t plus 2.5 end fraction so 150 over straight t minus fraction numerator 150 over denominator straight t plus 2.5 end fraction equals 10 150 straight t plus 375 minus 150 straight t equals 10 straight t squared plus 25 straight t 10 straight t squared plus 25 straight t minus 375 equals 0 straight t equals 5 space or space straight t equals negative 7.5 so space straight t space equals 5.... speed space equals 20 km divided by hr..... journey return equals 30 km divided by hr end style
Answered by Arun | 31 May, 2018, 01:20: PM

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