Raj takes 2 1/4 hours to complete his homework. however seema takes 8/3 hours to complete her homework. who takes less time and by how much?
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Time taken for Homework,
By Raj = 2 whole 1 / 4 hours
= 9 / 4 hours
By Seema = 8 / 3 hours
Comparison -
Raj = 9 / 4 = (9 × 3) / (4 × 3) = 27 / 12
Seema = 8 / 3 = (8 × 4) / (3 × 4) = 32 / 12
Clearly, (27 / 12) < (32 / 12)
Hence, Raj took less time.
By How much -
(32 / 12) - (27 / 12) hours
= (32 - 27) / 12 hours
= (5 / 12) hours
Hence, Raj took less time to complete his homework by (5 / 12) hours
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By Raj = 2 whole 1 / 4 hours
= 9 / 4 hours
By Seema = 8 / 3 hours
Comparison -
Raj = 9 / 4 = (9 × 3) / (4 × 3) = 27 / 12
Seema = 8 / 3 = (8 × 4) / (3 × 4) = 32 / 12
Clearly, (27 / 12) < (32 / 12)
Hence, Raj took less time.
By How much -
(32 / 12) - (27 / 12) hours
= (32 - 27) / 12 hours
= (5 / 12) hours
Hence, Raj took less time to complete his homework by (5 / 12) hours
✪ Be Brainly ✪
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2
raj will complete his work in9/4 hours and seema will complete her work her work in 8/3 hours on taking l.c.m of denominators so we will find that raj will do work in 27/12 hours and seema will do in 32/12 hours so Raj will do in short time
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