Question

. Working 4 hours a day, Savita can type a manuscript in 15 days. How many hours a day should she work so as
to finish the work in 10 days?​

Answer 1

Answer:

$➪$ $\boxed{\bold{\red{6 \:hours\:in\:a\:day}}}$

$\:$

Given:

Days required to complete work by working 4 hours a day = 15 days

$\:$

To find:

How many hours a day should she work so as to finish the work in 10 days.

$\:$

Formula used:

$\boxed{\sf{M_1D_1H_1=M_2D_2H_2}}$

• M ➙ No. of men

• D ➙ No. of days to complete work

• H ➙ No. of hours worked in a day

$\:$

Solution:

$\sf{M_1 = 1\:\: ; \:M_2 = 1}$

$\sf{D_1 = 15 \:; \:D_2 = 10}$

$\sf{H_1 = 4\:\: ; \:H_2 = ?}$

$\:$

$➪$ $\bold{M_1D_1H_1=M_2D_2H_2}$

$➪$ $\bold{(1)(15)(4)=(1)(10)H_2}$

$➪$ $\bold{6\cancel{0}=1\cancel{0}×H_2}$

$➪$ $\bold{H_2 = }$$\bold{\red{6\:hours}}$