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A boy cycles a certain distance from X to Y at 10km/hr, he returns at 12km/hr. The total time taken is 1hr 50min. find the distance XY.

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Let distance be x
Time= distance/speed
Time to = x/10 hrs
Time from =  x/12 hrs
Total time
x/10+x/12110/60
x/10+x/12=11/6
12x+10x=11x20
22x=220
x=10km

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