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101.

Two pipes A and B can fill a tank in 20 and 24 minutes. Resepctively. Pipe C can empty the tank in 10 minutes. Pipes A and B are opened for 5 minutes and then pipe C is also opend. In what time can tank become full or empty after opening pipe C?

Answer» Correct Answer - 55 minutes
102.

Theere are 4 people whow can complete a work in 19 days. Individually. The work is started by one of people on the first day. Everyday one more person joins and starting from the 4th days, all of the 4 people work be completed?A. `6(1)/(4)` daysB. `6 (1)/(19)`daysC. 7 daysD. `7(1)/(19)` days

Answer» Correct Answer - A
(i) Work done in the first three dya is `(1)/(19)+(2)/(19)+(3)/(19` and find the 4th day onwards the work done is `(4)/(19)`
(ii) Part of the work done in first three days `(1)/(19)+(2)/(19)+(3)/(19)=(6)/(19)`
`:.` Remaining work `=(13)/(19)`
(iii) Let required time =(3+x) days.
103.

Amar, Bhavan and Chetan can make a total of 8 dosas in one minutes. They have to make a total of 80 days. Amar started making dosas After some time, Bhavan anc Chetan took over and completed the job and Amar made atleast 5 doss per minutes, how long did Amar work alone (in minutes)?A. 9B. 10C. 11D. 12

Answer» Correct Answer - B
(i) Fram the quations and solve ,
(ii) A or B or C can make `(8)/(3)` dosas in one minute
(iii) Let A alone work for x minutes , and B and C work fo (20-x) minutes each.
(iv) `(8)/(3)xx x+(20-x)(8)/(3)+(20-x)(8)/(3)=80`
104.

Amar, Bhavan and Chetan can complete a job in 24 days, 36 days, and 48 days, respectively. Amar, Bhavan and Chetan started it. After 6 days, Amar left. The order tow continued to work. Bhavanleft 15 days the comletion work. Bhava left 15 days, before the completeion of the job. Chetan comlete the remaining work. Find the total time teaken to complet the job . ( in days)A. 21B. 24C. 27D. 30

Answer» Correct Answer - B
Amar worked for 6 days.
Bhavan woked for (t-15) days
Chetan worked for t days,
`Job=6((1)/(24))+(t-15)((1)/(36))+t((1)/(48))=1`
`(1)/(4)+t((1)/(36)+(1)/(48))-(5)/(12)=1`
`(7t)/(144)=(7)/(6)`
`t=24`
105.

A can complete a piece of work working along with B in 20 days. If he can complete the same work working along with C in 10 days, then between B and C who is more efficient ?

Answer» Correct Answer - B
106.

A can do one-third of a piece of work in 4 days and B can do one-fourth of the work in 6 days. How long will they take to complete the work, working together ?A. 12 daysB. 6 daysC. 8 daysD. 10 days

Answer» Correct Answer - C
Find the part of the work done by A and B individually in 1 day.