raju completes a work in 7/6 hours , whereas radha completes the same work in 5/3 hours who completes the work earlier and by how much
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Answer:
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Answer:
Time to finish a work by Raju = \frac{5}{6}
6
5
hours
Time to finish the work by Vrinda = \frac{3}{4}
4
3
hours
To Find :
which fraction of time is longer and by how much?
Solution :
To find the bigger fraction we will equate the denominators of the fractions first.
\frac{5}{6}=\frac{5\times 4}{6\times 4}
6
5
=
6×4
5×4
= \frac{20}{24}
24
20
Similarly,
\frac{3}{4}=\frac{3\times 6}{4\times 6}
4
3
=
4×6
3×6
= \frac{18}{24}
24
18
Now by comparing numerators of both the new fractions we find that \frac{5}{6}
6
5
is bigger.
Therefore, time taken by Raju is longer.
Difference in time to finish the work = \frac{5}{6}-\frac{3}{4}
6
5
−
4
3
= \frac{10-9}{12}
12
10−9
= \frac{1}{12}
12
1
Raju takes \frac{1}{12}
12
1
hours more than Vrinda.
Step-by-step explanation:
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