Question

If a train runs at 60 km/hr it reaches its destination late by 15 minutes. But, if it runs at

85 kmph it is late by only 4 minutes . Find the distance to be covered by the train.​

Answer 1

Answer:

GIVEN DATA

SPEED=85KMPH

TIME=4 MINUTES

DISTANCE=?

DISTANCE= SPEED × TIME

SO,

=85 × 4 MIN

=340 METERS

THANK YOU

Answer 2

If a train runs at 60 km/hr it is late by 15 minutes and if it runs at 85 km/hr it is late by only 4 minutes, then the distance to be covered by the train is 37.4 km.

Step-by-step explanation:

It is given that,

When the speed of train is 60 km/hr, it is late by 15 minutes or $\frac{15}{60}$ hr.

And, when the speed of train is 85 km/hr, it is late by 4 minutes or $\frac{4}{60}$ hr.

Let the distance covered by the train be “d” km at time 't' hr.

Here, we have a difference in the time of reaching the destination i.e.,

$\frac{15}{60}$ – $\frac{4}{60}$ = $\frac{11}{60}$ hr.

The required formula:

Time = $\frac{Distance}{Speed}$

So, based on the formula and the data given in the question we can write the eq, as,

$\frac{d}{60}$ – $\frac{d}{85}$  = $\frac{11}{60}$

⇒ $\frac{85d - 60d}{60*85}$ = $\frac{11}{60}$

⇒ $\frac{25d}{60*85}$ = $\frac{11}{60}$

⇒ d = $\frac{11*85}{25}$

⇒ d = 37.4 km

Thus, the distance covered by the train is 37.4 km.

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