A tyre has two punctures. The first puncture | vedclass

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

Question

(C) Let the total capacity of air in the tyre be $1$ unit.Rate of air leakage by the first puncture $= \frac{1}{9}$ unit/minute.Rate of air leakage by

Vedclass · Accepted Answer

$3 \frac{3}{5}$

Vedclass · Answer

(C) Let the total capacity of air in the tyre be $1$ unit.Rate of air leakage by the first puncture $= \frac{1}{9}$ unit/minute.Rate of air leakage by the second puncture $= \frac{1}{6}$ unit/minute.Combined rate of air leakage $= \frac{1}{9} + \frac{1}{6} = \frac{2+3}{18} = \frac{5}{18}$ unit/minute.Time taken to make the tyre flat when both punctures are active $= \frac{1}{5/18} = \frac{18}{5} = 3.6$ minutes.Converting $0.6$ minutes to fractions: $0.6 = \frac{6}{10} = \frac{3}{5}$.Thus,the total time is $3 \frac{3}{5}$ minutes.

$A$ tyre has two punctures. The first puncture alone would have made the tyre flat in $9 \,minutes$ and the second alone would have done it in $6 \,minutes.$ If air leaks out at a constant rate,how long does it take both the punctures together to make it flat? (in $minutes$)

Similar Questions

$A$ and $B$ can do a piece of work in $30$ and $36$ days respectively. They began the work together,but $A$ leaves after some days and $B$ finished the remaining work in $25$ days. After how many days did $A$ leave?

$A$ can finish a work in $18$ days and $B$ can do the same work in half the time taken by $A$. Then,working together,what part of the same work can they finish in a day?

$A, B$ and $C$ can complete a work in $2 \, h$. If $A$ does the job alone in $6 \, h$ and $B$ in $5 \, h$,how long will it take for $C$ to finish the job alone? (in $h$)

$A$ and $B$ can do a piece of work in $20$ days and $12$ days respectively. $A$ started the work alone and then after $4$ days $B$ joined him until the completion of the work. How long did the work last? (in days)

$P, Q$ and $R$ can do a piece of work in $60$ days,$100$ days and $80$ days respectively. They work together to finish the work and receive $Rs. 2256$. Then $P$ will get (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module