Latest general Aptitude Question SOLUTION: I person has to travel certain distance . On the first day he travelled one quarter of the distance. On day two, he travelled one half of the remaining distance. On day three, he t

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(#M40010151) GENERAL question Keep an EYE

I person has to travel certain distance . On the first day he travelled one quarter of the distance. On day two, he travelled one half of the remaining distance. On day three, he travelled three quarters of the remaining distance.And yesterday he travelled one third of the remaining distance. Now he has 21 miles left to travel. How far is the total distance to be travelled?

Asked In general Devendra Marghade (11 years ago)

Solved Garima Read Solution (2)

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prashanthi  (11 years ago)

"day one I travelled one quarter of the distance"
(1/4)d miles traveled
(3/4)d miles remaining

"day two, I travelled one half of the remaining distance"
(1/2)(3/4)d = (3/8)d miles traveled
(3/8)d miles remaining

"day three, I travelled three quarters of the remaining distance"
(3/4)(3/8)d = (9/32)d miles traveled
(1/4)(3/8)d = (3/32)d miles remaining

"Yesterday I travelled one third of the remaining"
(1/3)(3/32)d = (1/32)d miles traveled
(2/3)(3/32)d = (1/16)d miles remaining

"I now have 21 miles left"
(1/16)d = 21
d = 21×16 = 336 miles

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Garima  (11 years ago)

336 miles

If total distance is x, then
x*(3/4)*(1/2)*(1/4)*(2/3) = 21
x= 336 miles

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