Question : Pratima and Diksha can complete typing work separately in 10 hours and 15 hours, respectively. After typing for 4 hours alone, Pratima leaves the work. In how many hours will Diksha complete the remaining typing work?
Option 1: 8
Option 2: 10
Option 3: 9
Option 4: 7
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Correct Answer: 9
Solution :
Pratima can complete typing work separately in = 10 hours
Diksha can complete typing work separately in = 15 hours
Let total Work = LCM (10, 15) = 30 units
Efficiency of Pratima = $\frac{30}{10}$ = 3 units
Efficiency of Diksha = $\frac{30}{15}$ = 2 units
Pratima does work in 4 hours = 3$\times{4}$ = 12 units
Remaining work = 30 – 12 = 18 units
$\therefore$ Diksha does remaining work in = $\frac{18}{2}$ = 9 hours.
Hence, the correct answer is 9.
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