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EXP.20051111 : Two persons are traveling with a difference of speed of 1km/hr, between two cities and cover the same distance. Find the distance traveled, if faster one takes 16 minutes less at his 16km/hr speed.

Options : (a) 240 km (b) 64 km (c) 3840km (d) 16km

Solution to 20051111 Scrol down

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SLN.20051111 :
Let the distance between two cities be ‘X’ kms.
So slower person will take time in hour = X km / 15 km/hr
And faster one will take time in hour = X km / 16 km/hr.
16 minutes less converted in hour unit = 16/60 hr less
So, (X/15) – (X/16) = (16/60)
So, (16X – 15X) / 15x16 = 16/60
So, 16X -15X = (16/60)x(15x16)
So, X= 64