I can finish a work in 15 days at 8 hrs aday. You can finish it in 62/

1.	I can finish a work in 15 days at 8 hrs aday. You can finish it in 62/3 days at 9 hrsa day. Find how many days we can finishit working together 10 hrs a day.
Answer» ${\Large{\underline{\underline{\sf{\orange{ \: Answer:-}}}}}}$ In 7.2 days(approx) we can finish it together if we work for 10 hrs a day. ⠀⠀━━━━━━━━━━━━ Given : I can finish the work in 15 days if I work 8hrs a day. You can finish the same work in 62/3 days if you work 9 hrs a day. To Find : In how MANY days we can finish it working together 10 hrs a day = ? SOLUTION : TOTAL time taken by me to complete the work : $\implies$ 15 × 8 $\implies$ 120 hrs Total time taken by you to complete the work : $\implies$ 62/3 × 9 $\implies$ 186 hrs Together we can complete the work per hour : $:\implies \sf \: \: \: \dfrac{1}{120} + \dfrac{1}{186} \\ \\ \\ \\ :\implies \sf \: \: \: \dfrac{186 + 120}{120 \times 186} \\ \\ \\ \\ :\implies \sf \: \: \: \dfrac{306}{ \: 22320 \: } \\ \\ \\ \\ :\implies \sf \: \: \: \dfrac{1}{72}(approx)$ It will take 72 hrs to complete the total work. Working 10HRS each day, it would take : $\implies$ 72/10 $\implies$ 7.2 days Therefore, in 7.2 days(approx) we can finish it together if we work for 10 hrs a day. ⠀⠀━━━━━━━━━━━━

I can finish a work in 15 days at 8 hrs aday. You can finish it in 62/3 days at 9 hrsa day. Find how many days we can finishit working together 10 hrs a day.

Answer»

${\Large{\underline{\underline{\sf{\orange{ \: Answer:-}}}}}}$

In 7.2 days(approx) we can finish it together if we work for 10 hrs a day.

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Given :

I can finish the work in 15 days if I work 8hrs a day.
You can finish the same work in 62/3 days if you work 9 hrs a day.

To Find :

In how MANY days we can finish
it working together 10 hrs a day = ?

SOLUTION :

TOTAL time taken by me to complete the work :

$\implies$ 15 × 8

$\implies$ 120 hrs

Total time taken by you to complete the work :

$\implies$ 62/3 × 9

$\implies$ 186 hrs

Together we can complete the work per hour :

$:\implies \sf \: \: \: \dfrac{1}{120} + \dfrac{1}{186} \\ \\ \\ \\ :\implies \sf \: \: \: \dfrac{186 + 120}{120 \times 186} \\ \\ \\ \\ :\implies \sf \: \: \: \dfrac{306}{ \: 22320 \: } \\ \\ \\ \\ :\implies \sf \: \: \: \dfrac{1}{72}(approx)$

It will take 72 hrs to complete the total work.

Working 10HRS each day, it would take :

$\implies$ 72/10

$\implies$ 7.2 days

Therefore, in 7.2 days(approx) we can finish it together if we work for 10 hrs a day.