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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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.

Similar Questions

Sixteen men can complete a work in $15$ days,$24$ children can do the same work in $20$ days. In how many days will $8$ men and $8$ children complete the same work?

$A$ can do $50\%$ of the job in $16$ days,$B$ can do $\frac{1}{4}^{th}$ of the job in $24$ days. In how many days can they do $\frac{3}{4}^{th}$ of the job working together?

$A$ alone can complete a work in $16$ days and $B$ alone in $12$ days. Starting with $A$,they work on alternate days. The total work will be completed in (in days):

$A$ can do a piece of work in $8$ days. $A$ undertook it for $Rs. 320$. With the help of $B$,he finishes the work in $6$ days. $B$'s share is (in $Rs.$):

How many men will be required to plough $100 \, acres$ of land in $10 \, days$ if $10 \, men$ require $8 \, days$ to plough $20 \, acres$ of land?

Vedclass Test Series

Exam Paper Generator

Online Exam Module