Does the top of a carriage wheel move faster than the bottom? This question seems absurd. That the top moves faster, however, is perfectly correct; for if not it would simply move round in the same place: in a wheel on a fixed axle the bottom moves backward as fast as the top moves forward; but in a wheel that is going forward, drawn by a progressive axle, the bottom does not go back at all, but remains almost stationary until it is its turn to rise and go forward.
[37.] A General, arranging his army in a solid square, finds he has 284 men to spare, but on increasing the sides of the square by one man, he wants 25 men to complete the square. How many men has he?
“STEWING.”
[38.] A student reads two lines more of “Virgil” each day than he did the day before, and finds that, having read a certain quantity in 18 days, he will read at this rate the same quantity in the next 14 days. How much will he read in the whole time?
[39.] Two bootmakers who lived in the town of B., thrown out of employment, resolved to go to G., a town 24 miles north from B., where there is a large factory; one of them went straight on to G., but the other went first to C., a small township west of B., and then went direct to G., his whole journey being 45 miles. What is the distance from C. to G.?