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Standard VIII

Mathematics

Time and Work

Ravi can do a...

Question

Ravi can do a piece of work in 15 hours while Raman can do It In 12 hours. How long will both take to do it, working together?

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Solution

Ravi's one hours work $= \frac{1}{15}$

Raman's one hour's work $= \frac{1}{12}$

Both's one hour's work $= \frac{1}{15} + \frac{1}{12}$

$= \frac{4 + 5}{60} = \frac{9}{60} = \frac{3}{20}$

$∴$ BOth can finish the work in

$\frac{20}{3} = 6 \frac{2}{3}$ hours or 6 hours, 40 minutes.

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Ravi can do a piece of work in 15 hours while Raman can do It In 12 hours. How long will both take to do it, working together?

Ravi's one hours work =115 Raman's one hour's work =112 Both's one hour's work =115+112 =4+560=960=320 ∴ BOth can finish the work in 203=623 hours or 6 hours, 40 minutes.

Ravi's one hours work $= \frac{1}{15}$

Raman's one hour's work $= \frac{1}{12}$

Both's one hour's work $= \frac{1}{15} + \frac{1}{12}$

$= \frac{4 + 5}{60} = \frac{9}{60} = \frac{3}{20}$

$∴$ BOth can finish the work in

$\frac{20}{3} = 6 \frac{2}{3}$ hours or 6 hours, 40 minutes.