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Question

Mathematics Question on Time and Work

Two coal loading machines, each working 12 h per day for 8 days, handle 9000 tonne of coal with an 1 efficiency of 90%, while 3 other coal loading machines at an efficiency of 80% are set to handle 12000 tonne of coal in 6 days. How many hours per day should each machine work?

A

18 h per day

B

16 h per day

C

20 h per day

D

14 h per day

Answer

16 h per day

Explanation

Solution

According to the question,

time time1amountofworkdone1=time2amountofworkdone2\frac{time 1}{amount of work done 1}=\frac{time 2}{amount of work done 2}

(12×\times8×\times.9):(90002)(\frac{9000}{2})::(6x×\times.8):(120003)(\frac{12000}{3})

So, on solving , we get

x =16hrday=\frac{16hr}{day}...
So the correct option is (B)