Answers 243- THE DONKEY CART
The journey took IOS,41 hours. Atkins walked 53 ¥.!I miles at the end of his
journey, Brown walked 1327 ,41 at the beginning, and Cranby's donkey went
altogether 804 %1 miles. I hope the ass had a good rest after performing
the feat.- THE THREE CARS
B would pass C in 613 minutes.- THE FLY AND THE CARS
(1) The fly meets car B in 1 hour 48 minutes. (2) There is no necessity here
to work out the distance that the fly travels-a difficult series for the novice.
We simply find that the cars meet in exactly 2 hours. The fly really travels in
miles:-1-^270 + W^270 +^270 100 + 1,000'^270 .. to 1 'nfini ty, an d h t e sum 0 f t h' 1S geometnca. 1 d e-
creasing series is exactly 300 miles.- THE SUBWAY STAIRS
The least common multiple of 2,3,4,5,6, and 7 is 420. Deduct 1, and 419
is a possible number for the stairs, and every addition of 420 will also work.
So the number of steps might be either 419, 839, 1,259, 1,679, etc., only
we were told that there were fewer than 1,000, and that there was another
stairway on the line with fewer steps that had the same peculiarity. Therefore
there must have been 839 steps in the Curling Street stairway.
88. THE BUS RIDE
They can ride three times as fast as they can walk, therefore three-quarters
of their time must have been spent in walking, and only a quarter in riding.
Therefore they rode for 2 hours, going 18 miles, and walked back in 6 hours,
thus exactly filling their 8 ho~rs.