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

The average age of $5$ members is $21 \text{ years}$. If the age of the youngest member is $5 \text{ years}$,find out the average age of the family at the birth of the youngest member (in $\text{years}$).

The average of $25$ consecutive odd integers is $55$. The highest of these integers is

It rained as much on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was $3 \, cm$,then how much did it rain on Wednesday? (in $cm$)

The average weight of a group of $20$ boys was calculated to be $89.4 \text{ kg}$ and it was later discovered that one weight was misread as $78 \text{ kg}$ instead of the correct one of $87 \text{ kg}$. The correct average weight is in $\text{kg}$.

The average earning of a mechanic for the first four days of a week is $Rs. 18$ and for the last four days is $Rs. 22$. If he earns $Rs. 20$ on the fourth day,his average earning for the whole week is (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module