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Dimpy goes to school at 10 km/h and reaches the school 7 minutes late. Next day, she covers this distance at 12 km per hour and reaches the school 8minutes earlier than the scheduled time. What is the distance of her school from her house ?
(A) 15 km
(B) 20 km
(C) 22.5 km
(D) 25 km
(E) 26 km
(A) 15 km
(B) 20 km
(C) 22.5 km
(D) 25 km
(E) 26 km
29 Jan 2021, 05:09
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Bunuel
Dimpy goes to school at 10 km/h and reaches the school 7 minutes late. Next day, she covers this distance at 12 km per hour and reaches the school 8minutes earlier than the scheduled time. What is the distance of her school from her house ?
(A) 15 km
(B) 20 km
(C) 22.5 km
(D) 25 km
(E) 26 km
(A) 15 km
(B) 20 km
(C) 22.5 km
(D) 25 km
(E) 26 km
CONCEPT: Distance is constant in both journeys
DIstance = 10*(t+7) = 12*(t-8)
i.e 10t + 70 = 12t - 96
i.e. 2t = 166
i.e. t = 83 mins
Distance \(= 10*\frac{(83+7)}{60}\) (Now the time is in hours because speed is in km/hr)
ie. Distance = 15 km
ANswer: Option A
