A car starts from A for B travelling at 20 , | vedclass

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

Question

(C) Let the distance between $A$ and $B$ be $d \, km$.Time taken by the first car to cover the distance $d$ is $t_1 = \frac{d}{20} \, hours$.Time take

Vedclass · Accepted Answer

$240$

Vedclass · Answer

(C) Let the distance between $A$ and $B$ be $d \, km$.Time taken by the first car to cover the distance $d$ is $t_1 = \frac{d}{20} \, hours$.Time taken by the second car to cover the distance $d$ is $t_2 = \frac{d}{30} \, hours$.The second car starts $1.5 \, hours$ later and reaches $2.5 \, hours$ earlier,so the difference in time is $t_1 - t_2 = 1.5 + 2.5 = 4 \, hours$.Substituting the values: $\frac{d}{20} - \frac{d}{30} = 4$.Taking the $LCM$ of $20$ and $30$,which is $60$: $\frac{3d - 2d}{60} = 4$.$\frac{d}{60} = 4$.$d = 240 \, km$.Thus,the distance from $A$ to $B$ is $240 \, km$.

$A$ car starts from $A$ for $B$ travelling at $20 \, km/h$. $1 \frac{1}{2} \, hours$ later,another car starts from $A$ and,travelling at the rate of $30 \, km/h$,reaches $B$ $2 \frac{1}{2} \, hours$ before the first car. Find the distance from $A$ to $B$ (in $km$).

Similar Questions

$A$ boy started from his house by bicycle at $10:00 \, am$ at a speed of $12 \, km/h$. His elder brother started after $1 \, hour \, 15 \, minutes$ by scooter along the same path and caught him at $1:30 \, pm$. The speed of the scooter was (in $km/h$):

$A$ truck covers a distance of $550 \, m$ in $1 \, min$,whereas a bus covers a distance of $33 \, km$ in $45 \, min$. The ratio of their speeds is

Rajesh covers a certain distance by bus at $16 \text{ km/h}$ and returns to the starting point on a cycle at $9 \text{ km/h}$. His average speed for the whole journey is (in $\text{km/h}$):

$A$ train leaves station $A$ at $5\, AM$ and reaches station $B$ at $9\, AM$ on the same day. Another train leaves station $B$ at $7\, AM$ and reaches station $A$ at $10.30\, AM$ on the same day. The time at which the two trains cross one another is (in $AM$):

Starting from his house,a student walks at a speed of $2.5 \, km/hr$ and reaches his school $6 \, minutes$ late. Next day he increases his speed by $1 \, km/hr$ and reaches the school $6 \, minutes$ early. How far is the school from his house? (in $km$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module