Average rainfall on Monday,Tuesday,Wednesday | vedclass

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

Question

(B) Let $M, T, W, Th, F$ represent the rainfall on Monday,Tuesday,Wednesday,Thursday,and Friday respectively.From the given data:$M + T + W + Th = 4 \

Vedclass · Accepted Answer

$1600, 1680$

Vedclass · Answer

(B) Let $M, T, W, Th, F$ represent the rainfall on Monday,Tuesday,Wednesday,Thursday,and Friday respectively.From the given data:$M + T + W + Th = 4 	imes 420.5 = 1682\, cm$ ....$(1)$$T + W + Th + F = 4 	imes 440.5 = 1762\, cm$ ....$(2)$Subtracting equation $(1)$ from equation $(2)$:$(T + W + Th + F) - (M + T + W + Th) = 1762 - 1682$$F - M = 80\, cm$Given the ratio of rainfall on Monday and Friday is $20:21$,let $M = 20x$ and $F = 21x$.Substituting these into the difference equation:$21x - 20x = 80$$x = 80$Therefore,rainfall on Monday $= 20 	imes 80 = 1600\, cm$.Rainfall on Friday $= 21 	imes 80 = 1680\, cm$.

Average rainfall on Monday,Tuesday,Wednesday and Thursday is $420.5\, cm$ and average on Tuesday,Wednesday,Thursday and Friday is $440.5\, cm$. If the ratio of rainfall for Monday and Friday is $20:21$,find the rainfall in $cm$ on Monday and Friday.

Similar Questions

Out of four numbers,the average of the first three is $16$ and that of the last three is $15$. If the last number is $20$,then the first number is:

$A$ cricketer gives $12.4$ runs per wicket. He gives $26$ runs and takes $5$ wickets in a match,after which his average becomes $12$ runs per wicket. How many wickets had been taken till the last match?

If the average marks of three batches of $55, 60,$ and $45$ students are $50, 55,$ and $60$ respectively,then the average marks of all the students is:

The sum of three consecutive even numbers is $28$ more than the average of these three numbers. Then the smallest of these three numbers is

$A$ number,$x$,equals $80 \%$ of the average of $5, 7, 14$ and a number $y$. If the average of $x$ and $y$ is $26$,then the value of $y$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module