A train leaves a station A at 7:00 text{ am} | vedclass

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

Question

(D) Time taken by the $1^{st}$ train $= 4 	ext{ hours}.$Time taken by the $2^{nd}$ train $= 3.5 	ext{ hours} = \frac{7}{2} 	ext{ hours}.$Let the di

Vedclass · Accepted Answer

$9:24 	ext{ am}$

Vedclass · Answer

(D) Time taken by the $1^{st}$ train $= 4 	ext{ hours}.$Time taken by the $2^{nd}$ train $= 3.5 	ext{ hours} = \frac{7}{2} 	ext{ hours}.$Let the distance between $A$ and $B$ be $D.$ Speed of $1^{st}$ train $(v_1) = \frac{D}{4}.$Speed of $2^{nd}$ train $(v_2) = \frac{D}{3.5} = \frac{2D}{7}.$The $1^{st}$ train starts at $7:00 	ext{ am}$ and the $2^{nd}$ train starts at $8:00 	ext{ am}.$ In $1 	ext{ hour}$ (from $7:00 	ext{ am}$ to $8:00 	ext{ am}$),the $1^{st}$ train covers distance $= v_1 	imes 1 = \frac{D}{4}.$Remaining distance at $8:00 	ext{ am} = D - \frac{D}{4} = \frac{3D}{4}.$Since the trains are moving towards each other,their relative speed $= v_1 + v_2 = \frac{D}{4} + \frac{2D}{7} = \frac{7D + 8D}{28} = \frac{15D}{28}.$Time taken to meet after $8:00 	ext{ am} = \frac{	ext{Remaining Distance}}{	ext{Relative Speed}} = \frac{3D/4}{15D/28} = \frac{3}{4} 	imes \frac{28}{15} = \frac{7}{5} 	ext{ hours}.$$\frac{7}{5} 	ext{ hours} = 1 	ext{ hour and } 24 	ext{ minutes}.$Meeting time $= 8:00 	ext{ am} + 1 	ext{ hour } 24 	ext{ minutes} = 9:24 	ext{ am}.$

$A$ train leaves a station $A$ at $7:00 \text{ am}$ and reaches another station $B$ at $11:00 \text{ am}.$ Another train leaves station $B$ at $8:00 \text{ am}$ and reaches $A$ at $11:30 \text{ am}.$ At what time do the two trains cross each other?

Similar Questions

If a train $110 \, m$ long passes a telegraph pole in $3 \, seconds$,then the time taken (in $seconds$) by it to cross a railway platform $165 \, m$ long is:

The ratio of the speeds of a car,a jeep,and a tractor is $3:5:2$. The speed of the jeep is $250\%$ of the speed of the tractor,which covers $360\,km$ in $12\,hours$. What is the average speed of the car and the jeep together? (in $km/h$)

$A$ car travels $10\, m$ in $1$ second. Find its speed in $km/h$.

One third of a certain journey is covered at the rate of $25 \, km/hr$,one-fourth at the rate of $30 \, km/hr$,and the rest at $50 \, km/hr$. The average speed for the whole journey is (in $km/hr$):

If a $200 \, m$ long train crosses a platform of the same length as that of the train in $20 \, s$,then the speed of the train is (in $km/hr$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module