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.
is
Answers
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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