A, B, and C have to type 506 pages to finish | vedclass

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(B) Let the time spent by each person be $T$ minutes.The rate of typing for $A$ is $1/12$ pages per minute.The rate of typing for $B$ is $1/15$ pages

Vedclass · Accepted Answer

$176$

Vedclass · Answer

(B) Let the time spent by each person be $T$ minutes.The rate of typing for $A$ is $1/12$ pages per minute.The rate of typing for $B$ is $1/15$ pages per minute.The rate of typing for $C$ is $1/24$ pages per minute.Since they spend equal time $T$,the number of pages typed by $A, B,$ and $C$ are $T/12, T/15,$ and $T/24$ respectively.The total number of pages is $506$,so:$T/12 + T/15 + T/24 = 506$To solve for $T$,find the least common multiple of $12, 15,$ and $24$,which is $120$.$(10T + 8T + 5T) / 120 = 506$$23T / 120 = 506$$T = (506 	imes 120) / 23 = 22 	imes 120 = 2640$ minutes.The number of pages typed by $B$ is $T/15 = 2640 / 15 = 176$ pages.

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