Question

A train has to cover 360 km in 6 hours. It travels at a speed of 55 km per hour for
the first four hours. To reach the destination in the desired time, what should be the
speed of the train to cover the remaining distance?


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Answer 1

Given data :

• A train has to cover 360 km in 6 hours.
• Train travels at a speed of 55 km/hr for the first four hours.

To find : Speed of the train to reach the destination in the desired time ?

Solution :

Now, according to given,

{Train travels at a speed of 55 km/hr for the first four hours.}

So, speed of train = 55 km/hr

& time taken by train = 4 hour

Now, to find distance covered by train

→ speed = distance/time

→ 55 = distance/4

→ distance = 55 * 4

→ distance = 220 km

So, train covered 220 km in 4 hour with speed 55 km/hr.

According to given, {A train has to cover 360 km in 6 hours.}

Now, we know that train already covered 220 km in 4 hour. Hence,

→ Train need to cover distance = 360 - 220

→ Train need to cover distance = 140 km

and

→ Train has time to cover 140 km = 6 - 4

→ Train has time to cover 140 km = 2 hour

So, we know that train need to cover 140 km in 2 hour.

Now, to find speed of the train to reach the destination in the desired time.

→ speed = distance/time

→ speed = 140/2

→ speed = 70 km/hr

Answer : Hence, speed of the train to reach the destination in the desired time is 70 km/hr.

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Answer 2

Explanation:

_______________________________________________________________________

$\text{\huge\underline{\red{Question:-}}}$

:$\Longrightarrow$ A train has to cover 360 km in 6 hours. It travels at a speed of 55 km per hour for

the first four hours. To reach the destination in the desired time, what should be the speed of the train to cover the remaining distance?

$\text{\huge\underline{\orange{Given:-}}}$

:$\Longrightarrow$ A train has to cover 360 km in 6 hours.

:$\Longrightarrow$ Train travels at a speed of 55km/h for the first four hours.

$\text{\huge\underline{\green{To\ find:-}}}$

:$\Longrightarrow$ Speed of the train to reach the destination in the desired time.

$\text{\huge\underline{\purple{Solution:-}}}$

$\text{\large\underline{\bf{First\ phase:-}}}$

:$\Longrightarrow$ 4 hours taken by car and distance covered = S1 = speed × time

:$\Longrightarrow$ S1 = 55 × 4 = 220km.

:$\Longrightarrow$ This implies that in 4 hours the distance covered is 220km.

$\text{\large\underline{\bf{Second\ phase:-}}}$

:$\Longrightarrow$ Desired:- At what speed car should travel to cover a remaining distance in remaining time.

:$\Longrightarrow$ Remaining distance to cover = S2 = 360 - 220 = 140km.

:$\Longrightarrow$ Remaining time for travelling = t2 = 6 - 4 = 2 hours.

:$\Longrightarrow$ Distance covered = speed × time $\Longrightarrow$

:$\Longrightarrow$ Speed = $\mathrm{\dfrac{Distance\ covered}{Time}}$

:$\Longrightarrow$ Speed = $\mathrm{\dfrac{140}{2}}$

:$\Longrightarrow$ = 70km/h.

$\text{\large\underline{\bf{Desired\ speed:-}}}$ = 70km/h.

$\text{\huge\underline{\blue{Hence,\ Verified}}}$

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