Puzzles

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24/12/24 – Sleigh Ride

Santa needs to be at Lapland for midnight.

If he drives his sleigh at 20mph he will be an hour early.

If he drives his sleigh at 15mph he will be two hours late.

How fast does he need to travel to arrive exactly at midnight?

Puzzle courtesy of Mensa member Peter Hooton

  • Show Answer

Ans = 18mph
Let D be the total distance. At 20mph the time taken is t1 and at 15mph the time taken is t2
t2 – t1 = 3; Time= 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒/𝑆𝑝𝑒𝑒𝑑
𝐷/15 – 𝐷/20 = 3, so D = 180; t1 = 9 hrs, t2 = 12 hrs
He needs t = 10 hrs for a distance of 180 miles

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