Question

Train A traveled a distance of 120 km in 3 hours where as another train B travels of distance of 150 km in 4 hours . which train travelled faster​

Answer 1

Given:-

• Distance traveled by Train A in time 3 hours = 120 km

• Distance traveled by Train B in time 4 hour = 150 km

To find:-

• Which train is faster?

Solution:-

As we know that,

$\dag\;{\underline{\boxed{\bf{\red{ Speed = \dfrac{Distance}{Time}}}}}}$

★ Speed of Train A :-

$:\implies\sf Speed_{(A)} = \dfrac{120\;km}{3\;h} \\ \\ :\implies{\underline{\boxed{\bf{\purple{40\;km/h}}}}}$

★ Speed of Train B :-

$:\implies\sf Speed_{(B)} = \dfrac{150\;km}{4\;h} \\ \\ :\implies{\underline{\boxed{\bf{\purple{45\;km/h}}}}}$

Therefore,

$\dag\;\bf {\underline{Train\;B\; Travel\;faster\; than\;A}}$

$\rule{200}3$

Answer 2

Given: Distance travelled by train A is 120km in 3 hours & distance travelled by train B is 150km in 4 hours.

Need to find: Which train travelled faster.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

${\underline{\bf{\dag}\frak{\;As\;we\;know\;that\;:}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\star\;{\boxed{\pink{\sf{Speed=\dfrac{Distance}{Time}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, speed of train A,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{Speed=\cfrac{120\;km}{3\;h}}\\\\\\:\implies{\underline{\boxed{\purple{\frak{Speed=40\;km/h}}}}}{\;\bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Now, speed of train B,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{Speed=\cfrac{150\;km}{4\;h}}\\\\\\:\implies{\underline{\boxed{\pink{\frak{Speed=37.5\;km/h}}}}}{\;\bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

${\underline{\sf{Hence,\;train\;A\;travelled\;faster\;than\;train\;B.}}}$