exam Maths Puzzle

Anil does a work in 90 days, Bittu in 40 days and Chintu in 12 days. They work one after another for a day each, starting with Anil followed by Bittu and then by Chintu. If the total wages received are Rs 360 and Anil, Bittu, Chintu share them in the ratio of the work done, find their respective individual wages.

A.

Rs 40, Rs 60 and Rs 260

B.

Rs 36, Rs 81 and Rs 243

C.

Rs 42, Rs 86 and Rs 232

D.

Rs 38, Rs 88 and Rs 234

Read Solution (Total 1)

Assume there are 360 units of work (LCM of 40,60 and 12).
Hence, A,B and C can do 4,9 and 30 units per day or together 43 units every 3 days.
So In 24 days, 43×8=344 units of work is completed. In the next 2 days, 13 units are completed and on 27th day, C takes (1/10)th of a day to finish the rest.

So, A and B worked for 9 days each and have hence put in 36 and 81 units respectively, and the rest of the 243 units is put in by C.
The wages shall also be distributed in the same ratio as:
Rs 36, Rs 81 and Rs 243.
9 years agoHelpfull: Yes(2) No(5)

exam Other Question

A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600m3. The emptying capacity of the pump is 10m3/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it?

A.

10
m3
min

B.

60
m3
min

C.

45
m3
min

D.

90
m3
min

A can build up a structure in 8 days and B can break it is 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?

A.

10

B.

9

C.

12

D.

None of these