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.

Question

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.

1 Answer

anonymous · Answer 1 · 2021-08-13T10:43:22+0000

Let distance be x
Time= ^distance/_speed
Time to =^x/₁₀ hrs
Time from = ^x/₁₂ hrs
Total time
^x/₁₀+^x/₁₂= ¹¹⁰/₆₀
^x/₁₀+^x/₁₂=¹¹/₆
12x+10x=11x20
22x=220
x=10km

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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