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Question

A worker in a factory is paid Rs. 2 per hour for normal work and double the rate for overtime work. Write down an expression for his one weeks earnings in which he worked for 40 hours out of which x hours was overtime. Also, find the number of hours of his normal work if he receives Rs. 116 in all.

A
Rs. 2(x+40) and 22 hrs
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B
Rs. (x+40) and 18 hrs
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C
Rs. 2(x40) and 42 hrs
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D
Rs. (x+40) and 16 hrs
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Solution

The correct option is A Rs. 2(x+40) and 22 hrs
If the worker worked overtime for x hours, then he did normal work for 40x hours.
His pay for the week =Rs2(40x)+4x=Rs2(40+x)
Given, 2(40+x)=116
=>40+x=58
=>x=18
This means, he did normal work for 4018=22 hours

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