Reena travels 15 km to her home partly by auto and partly by bus. She takes 1 hour if she travels 3 km by auto and the remaining by bus. On the other hand, if she travels 5 km by auto and the remaining by bus, she takes 10 minutes longer. Find the speed of the auto and bus.
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Answer:
Auto speed = 7.5 km/hr
Bus Speed = 20 km/Hr
Step-by-step explanation:
Let say Speed of Auto = A km/hr
& Speed of Bus = B km/hr
She takes 1 hour if she travels 3 km by auto and the remaining by bus
Time taken = Distance / Speed
1 = 3/A + (15-3)/B
=> 1 = 3/A + 12/B
=> AB = 3B + 12A
if she travels 5 km by auto and the remaining by bus, she takes 10 minutes longer
1 + 10/60 = 5/A + (15-5)/B
=> 7/6 = 5/A + 10/B
=> 7AB = 30B + 60A
=> 30B + 60A = 7(3B + 12A)
=> 30B + 60A = 21B + 84A
=> 9B = 24A
=> 3B = 8A
AB = 3B + 12A
=> A(8A/3) = 8A + 12A
=> 8A² = 60A
=> 8A = 60
=> A = 7.5 km/hr
3B = 60
=> B = 20 km/hr
Auto speed = 7.5 km/hr
Bus Speed = 20 km/Hr
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Answer:
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