Quantity , 1: Original duration of flight. In | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) $Quantity \, 1:$
Let the original duration be $t$ hours and original speed be $s$ km/hr.
Given,$s 	imes t = 3000 \implies s = \frac{3000}{t}$.

Vedclass · Accepted Answer

Quantity $I >$ Quantity $II$

Vedclass · Answer

(A) $Quantity \, 1:$
Let the original duration be $t$ hours and original speed be $s$ km/hr.
Given,$s 	imes t = 3000 \implies s = \frac{3000}{t}$.
According to the problem,$(s - 100)(t + 1) = 3000$.
Substituting $s = \frac{3000}{t}$ into the equation:
$(\frac{3000}{t} - 100)(t + 1) = 3000$
$3000 + \frac{3000}{t} - 100t - 100 = 3000$
$\frac{3000}{t} - 100t - 100 = 0$
Dividing by $100$: $\frac{30}{t} - t - 1 = 0$
$30 - t^2 - t = 0 \implies t^2 + t - 30 = 0$
$(t + 6)(t - 5) = 0$. Since time cannot be negative,$t = 5 \, hours$.
$Quantity \, 2:$
Let the usual speed be $v$ and usual time be $T$.
New speed $= \frac{3}{4}v$. Since distance is constant,time is inversely proportional to speed.
New time $= \frac{4}{3}T$.
Given,$\frac{4}{3}T - T = 20 \, minutes$.
$\frac{1}{3}T = 20 \, minutes \implies T = 60 \, minutes = 1 \, hour$.
Comparing $Quantity \, 1$ $(5 \, hours)$ and $Quantity \, 2$ $(1 \, hour)$,we get $Quantity \, I > Quantity \, II$.

Similar Questions

Let $f(x) = x^2 - x + k - 2$,$k \in R$. Then the complete set of values of $k$ for which $y = |f(|x|)|$ is non-derivable at $5$ distinct points is:

Solve the given two equations and select the correct option.
$I. 15x^2 - 46x + 35 = 0$
$II. 4y^2 - 15y + 14 = 0$

Find two consecutive positive odd integers whose squares have the sum $290.$

Let $\alpha$ and $\beta$ be the roots of the quadratic equation $x^2 \sin \theta - x(\sin \theta \cos \theta + 1) + \cos \theta = 0$ where $0 < \theta < 45^\circ$,and $\alpha < \beta$. Then $\sum_{n=0}^\infty (\alpha^n + \frac{(-1)^n}{\beta^n})$ is equal to

The values of $a$ for which $2x^2 - 2(2a + 1)x + a(a + 1) = 0$ may have one root less than $a$ and other root greater than $a$ are given by

Vedclass Test Series

Exam Paper Generator

Online Exam Module