Two ladies simultaneously leave cities A and B connected
by a straight road and travel towards each other. The firs
lady travels 2 km/hr faster than the second lady and reaches
B one hour before the second lady reaches A. The two
cities A and B are 24 km. apart. How many kilometers does
each lady travel in one hour?
Answers
Answer:
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Step-by-step explanation:
•Let the speed of the second lady be x km/hr
•Then, speed of first lady = (x + 2) km/hr
✯Nᴏᴡ sᴏʟᴠᴇ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ,
⇒x(x+2)=48
⇒x^2+2x−48=0
⇒x^2+8x−6x−48=0
⇒x(x+8)−6(x+8)=0
⇒(x+8)(x−6)=0
⇒x=6
☞︎︎︎Hence, speed of first lady = 8 km/hr
☞︎︎︎And speed of second lady = 6 km/hr
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