Math, asked by karthikadi2356, 8 months ago

work in 20days, in how many days Balone can finish ll?
VAB,
10.
If a train runs at 40 kmph it reaches its destination late by 11 minutes. But if it runs at
50 kmph it is late by 5 minutes only. Find the distance to be covered by the train.
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Answers

Answered by pritivipinjha
1

Answer:

20 km

Step-by-step explanation:

Given :

Speed of train is and its late by 11 min or \displaystyle{\dfrac{11}{60} \ \text{hr}}

60

11

hr .

In other case it's also given speed of train is and late by 5 min or \displaystyle{\dfrac{5}{60} \ \text{hr}}

60

5

hr .

Let the train covered 'd' km distance.

The journey let it took 't' hr time.

We have difference in late of time i.e.

\displaystyle{\dfrac{11}{60} -\dfrac{5}{60}=\dfrac{1}{10}}

60

11

60

5

=

10

1

We know ,

A.T.Q.

\begin{lgathered}\displaystyle{\frac{\text{d}}{40} -\frac{\text{d}}{50}= \frac{1}{10}}\\\\\\\displaystyle{\dfrac{\text{d}}{10}\left(\frac{1}{4} -\frac{1}{5}\right)= \frac{1}{10}}\\\\\\\displaystyle{\text{d}\left(\dfrac{1}{20}\right)=1}\\\\\\\displaystyle{\text{d}=20 \ \text{km}}\end{lgathered}

40

d

50

d

=

10

1

10

d

(

4

1

5

1

)=

10

1

d(

20

1

)=1

d=20 km

Hence , the distance to be covered by the train is 20 km .

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