...at the rate of 6 for 11 cents, and makes 27 cents by the transaction. How many eggs did he buy ? 37. At -what time between 3 and 4 o'clock are the hands...to the required time. Then, since the hour-hand is 16 minute-spaces in advance of the minute-hand at 3 o'clock, x — 15 — 30, or x — 45, will represent...

...at the rate of 6 for 11 cents, and makes 27 cents by the transaction. How many eggs did he buy ? 37. At what time between 3 and 4 o'clock are the hands...of minute-spaces passed over by the minutehand from ;i o'clock to the required time. Then, since the hour-hand is 15 minute-spaces in advance of the minute-hand...

...the former will give power for an indirect, and the latter for a direct, attack upon a problem. 1. At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Necessary knowledge: at 3 o'clock the min. hand is at 12, and the hr. hand at 3 ; when the hands...

...joined by a boy, and they finish it in 2^- days. In how many days could the boy do the entire task ? 31. At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions '! SOLUTION. At 3 o'clock the minute-hand is 15 minute-spaces behind...

...goes 3 rods. When A starts B is 20 rods ahead. How far from the starting point will A overtake B ? 74. At what time between 3 and 4 o'clock are the hands of a clock opposite ? 75. What time is it if £ of the time past noon is equal to ^ of the time to midnight...

...62. At what time between 2 and 3 o'clock are the hands of a clock at right angles to each other ? 63. At what time between 3 and 4 o'clock are the hands of a clock opposite each other ? 64. A can do a piece of work in 10 days, which В can do in 12 days, and...

...62. At what time between 2 and 3 o'clock are the hands of a clock at right angles to each other ? 63. At what time between 3 and 4 o'clock are the hands of a clock opposite each other ? 64. A can do a piece of work in 10 days, which B can do in 12 days, and...

...as a quotient and 20 as a remainder. Ans. 82, the dividend ; 31, the divisor. ILLUSTRATIVE EXAHPLE. At what time between 3 and 4 o'clock are the hands of a watch opposite each other ? Let OM and OH represent the positions of the minute and hour hand* at 3 o'clock, and OM'...

...Transposing, 9a; = 324. Whence, x = 30, the number of dimes ; and 108 — x = 72, the number of cents. 4. At what time between 3 and 4 o'clock are the hands...minute-spaces in advance of the minutehand at 3 o'clock, x — 16 — 30, or x — 45 will represent the number of minute-spaces passed over by the hour-hand....

...? (§ 170, Ex. 1.) 29. At what time between 2 and 3 o'clock are the hands of a clock together ? 30. At what time between 3 and 4 o'clock are the hands of a clock in a straight line ? 31. At what time between 6 and 7 o'clock are the hands for the first time...