Question

A generator consumes 2\ \frac{2}{3} litres of diesel every hour. How much diesel will the generator consume in 7 \frac{1}{5} hours?

Answer 1

⇒ Given :-

• A generator consumes  ${\sf 2\:{\dfrac{2}{3}$ litres of diesel every hour.

⇒ To Find :-

• How much diesel will the generator consume in  ${\sf 7\:{\dfrac{1}{5}$ hours?

⇒ Solution :-

• Diesel consumes every hour =  ${\sf 2\:{\dfrac{2}{3}\:L$  = ${\sf{\dfrac{2\:x\:3+2}{3}\:L$ = ${\sf{\dfrac{8}{3}}\:L$

• ∴ Diesel consumed in ${\sf 7\:{\dfrac{1}{5}$ hours = ${\sf{\dfrac{7\:x\:5+1}{5}$  = ${\sf{\dfrac{36}{5}}$

                                                              = ${\sf{\dfrac{36}{5}}\:x\:{\sf{\dfrac{8}{3}}\:L$

                                                               = ${\sf{\dfrac{36\:x\:8}{5\:x\:3}\:L$

                                                               = ${\sf{\dfrac{288}{15}\:L$

                                                                = 19.2 L

Ans. 19.2 L diesel will be consumed in ${\sf 7\:{\dfrac{1}{5}$ hours.

$\huge{\boxed{\sf{\ Hence\:\:Proved}}}$