To reach his office from home, Alex walks 3/5km and covers the remaining distance of 21/5km to his
office by taxe How far is Alex's orice from his home?
Express the answer as a mixed fraction
Answers
Answer:
Given:
A wooden block of mass 400 gram float vertically in a liquid of density 0.8 gram/cm cube. The volume of the block is 625 cm³.
To find:
Volume of block above liquid surface ?
Calculation:
In case of floating, the weight of the block is being balanced by the buoyant force:
\therefore \: F_{b} = mg∴F
b
=mg
\implies \: (V_{inside}) \rho g = (V_{total}) \sigma g⟹(V
inside
)ρg=(V
total
)σg
\implies \: \dfrac{V_{inside}}{V_{total}} = \dfrac{ \sigma}{ \rho}⟹
V
total
V
inside
=
ρ
σ
\implies \: \dfrac{V_{inside}}{625} = \dfrac{ (\frac{400}{625} )}{ 0.8}⟹
625
V
inside
=
0.8
(
625
400
)
\implies \: \dfrac{V_{inside}}{625} = \dfrac{ 0.64}{ 0.8}⟹
625
V
inside
=
0.8
0.64
\implies \: \dfrac{V_{inside}}{625} = 0.8⟹
625
V
inside
=0.8
\implies \: V_{inside} = 500 \: {cm}^{3}⟹V
inside
=500cm
3
\implies \: V_{outside} =(625 - 500 )\: {cm}^{3}⟹V
outside
=(625−500)cm
3
\implies \: V_{outside} =125 \: {cm}^{3}⟹V
outside
=125cm
3
So, volume outside liquid is 125 cm³.
Step-by-step explanation:
Nitin can walk 3 4/5 km in one hour. How much distance will he cover in 2 1/2 hours?
By Unitary Method,
Distance covered in 1 hr = 3 4/5 km = 19/5 km
Distance covered in 2 1/2 hrs. or 5/2 hrs. = (19/5) * (5/2)
= 19/2 km or 9.5 km
2. By using formula, Speed = Distance/Time
Nitin covers 3 4/5 km (19/5 km) in 1 hr, therefore, his speed is 19/5 km/hr
We are given, Time = 2 1/2 hr. =5/2 hrs.
We know, Speed = Distance/Time
So, 19/5 = Distance / (5/2)
Distance = (19/5) * (5/2)
Distance = 9.5 km