...= 10 ; that is, 10 is the number he disposed of, and the result is very easily verified. Ex. 10. If A and B can do a piece of work in m days ; A and C in n days : and B can do p times as much as C in a given time : find the time in which B...

...(11) Find two numbers, the sum of which is 15, and the sum of their squares 113. Ans. 7 and 8. (12) A and B can do a piece of work in m days, A and C in n days, B and C in r days : what portion of the work can each do in a day ? Ans. The portions...

...Text-Book. THE MATHEMATICAL MONTHLY. Vol. n JANTTAEY, 1860 No. IV. PRIZE PROBLEMS FOR STUDENTS. I. A and B can do a piece of work in m days ; B and C...that A can do p times as much as B in a given time ? H. Show that __. + V2-3) = y/ 2. III. Find the roots of the equation s? — 6 x = 4, by trigonometry....

...STTJDENTS. I. A and В can do a piece of work in m days ; В and С in я days ; in what time can A and С do the same, it being supposed that A can do p times as much as В in a given time ? П. Show that ^-+(2^уз) + ^Л7%) = V 2Ш. Find the roots of the equation ж8...

...side of the square as the other is shorter than it, and whose area contains 6,400 square yards. 2. A and B can do a piece of work in m days ; A -works n days alone, when B joins him, and both together finish the work in p days more ; how long...

...th'dnthe side of the square, as the other is shorter than it, and whose area contains 6400 sq. yds. 2. A' 'and B can do a piece of work in M days; A works N days alone, when B joins him, and both together finish the work in p days more : how long...

...side of the square, as the other ii shorter tban it, and whose area contains 6,400 square yards. 2. A and B can do a piece of work in m days; A works a days alone, when. B joins him, and both together finish the work in p days more : how long...

...be divided by the sum of its digits, the quotient is 7 and the remainder 6. Required the number. 38. A and B can do a piece of work in m days, B and C in n days, and С and A in p days. In what time can each alone perform the work? 39. A crew can row 10 miles in...

...be divided by the sum of its digits, the quotient is 7 and the remainder 6. Required the number. 38. A and B can do a piece of work in m days, B and С in n days, and С and A in _p.days. In what time can each alone perform the work? \ 39. A crew can...

...— (x — 6)2 and w6 — 64«6. 12 2. Simplify x — i — 12 'K .— C — ^- * -— 5 -v + 3 3. A and B can do a piece of work in m days ; B and C can do it in n days ; C and D in p days ; and D and A in r days. In how many days can all working together...