Question

a man drives from city to his village a distance of 48km in 45 mins where the road surface is good he drives at 72km/hr and where it is bad at 48km/hr find the numbers of kilometers of good surface ( from an algebric equation and solve it)​

Answer 1

$let \: \: \\ \\ x = \: \: distance \: \: of \: \: good \: \: surface \\ \\ 48 - x = bad \: \: \: surface \\ \\ by \: \: formula \\ \\ speed \: = \frac{distance}{time} \\ \\ s = \frac{d}{t} \\ \\ \frac{x}{72} + \frac{48 - x}{48} = \frac{45}{60} \\ \\ \frac{x}{72} + \frac{48 - x}{48} = \frac{3}{4} \\ \\ lcm = 288 \\ \\ hence \\ \\ 4x + 6(48 - x) = 216 \\ \\ 4x + 288 - 6x = 216 \\ \\ - 2x = 216 - 288 \\ \\ - 2x = - 72 \\ \\ x = \frac{72}{2} \\ \\ x = 36 \: \: \: ...good \: \: \: road \\ \\ 48 - x = 48 - 36 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: .. bad \: \: \: road \:$

Answer 2

Answer:

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