Question

Raghav studies for $4\frac{1}{7}$ hours per day. He devotes $2\frac{4}{5}$ hours of his time for Science and Maths both. How much time does he have left every day to devote for his other subjects? [3 MARKS]

Answer 1

Concept: 1. 5 Marks
Application: 1.5 Marks

Total time Raghav devotes to study $=4\frac{1}{7}hr$

$=\frac{29}{7}hrs$

Time devoted by Raghav for Science and Maths both

$=2\frac{4}{5}=\frac{14}{5}hrs$

$\therefore$ Time left for Raghav to devote on his other subjects $=\frac{29}{7}-\frac{14}{5}$

$=\frac{5\times 29-14\times 7}{35}$

$=\frac{145-98}{35}$

$=\frac{47}{35}$


$=\frac{12}{35}hr$