Question

Menka and Shalu ran a 100 metre race . Menka took 91/5 seconds and Shalu took 47/4 seconds. how much longer time did Shalu take?



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Answer 1

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Required Answer :-}}}}}}$

⍟ Time taken by Menka to complete the race = $\dfrac{91}{5}$ seconds

⍟ Time taken by Shalu to complete the race = $\dfrac{47}{4}$ seconds

Now we need to find how much longer time did Menka take to complete the race.

Time taken by Menka to complete the race - Time taken by Shalu to complete the race

$\sf = \dfrac{91}{5} - \dfrac{47}{4}$

$\sf = \dfrac{(4*91)-(5*47)}{20}$

$\sf = \dfrac{364-235}{20}$

$\sf = \dfrac{129}{20}$

$\sf \approx 6.45\;seconds$

∴ Menka took $\dfrac{129}{20}$ seconds (6.45 seconds) more to complete the race.

Answer 2

Correct Question:-

• Menka and Shalu ran a 100 metre race . Menka took 91/5 seconds and Shalu took 47/4 seconds. How much longer time did Menka take?

Given :-

• Menka and Shalu ran a 100 metre race.
• Time taken by Menka to complete the race ${ \boxed{{\bf{ \frac{91}{5} \: seconds }}} }$
• Time taken by Shalu to complete the race ${ \boxed{{\bf{ \frac{47}{4} \: seconds }}} }$

To Find :-

• How much longer time did Menka take to complete the Race ?

Solution :-

It can be seen that Shalu took less time to complete the Race. So, we will minus the time of Menka from the time of Shalu , to find how longer did Menka took to complete the race of 100 metre .

$\qquad \quad {:} \longrightarrow \sf{ \boxed{{\bf{ \frac{91}{5} \: - \: \frac{47}{4} }}}}$

Now, take the LCM of 5 and 4 to make the bases same . LCM of 5 and 4 is 20.

$\qquad \quad {:} \longrightarrow \sf {\sf{ \frac{91 \: \times \: 4 }{5 \: \times \: 4} \: - \: \frac{47 \: \times \: 5}{4 \: \times \: 5}}}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{91 \: \times \: 4 \: - \: 47 \: \times \: 5 }{20} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{364\: - \: 235}{20} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{129}{20} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \cancel \frac{129}{20} }}$

$\qquad \quad {:} \longrightarrow \sf{\bf{ 6.45 }}$

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So, Menka took 6.45 seconds more then Shalu to complete the race .

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