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When a train travels at a speed of 60kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
a,75km
b,50km
c,60km
d,85km
Read Solution (Total 14)
-
- (x/50) - (x/60) = 15/60
then x = 75 - 10 years agoHelpfull: Yes(21) No(1)
- Let x be the time reached with the speed 60km/h
50km/h ----> x+15
Distance is equal so
60(km/h)× xhr = 50(km/h) × (x+15) hr
So
60 x = 50x + 750
So the would be in km
And x = 75
So
75km - 10 years agoHelpfull: Yes(15) No(3)
- Let x be the time reached with the speed 60km/h
50km/h ----> x+15
Dist. is equal so
60*x= 50*(x+15)
So
60 x = 50x + 750
So the would be in km
And x = 75km - 10 years agoHelpfull: Yes(5) No(1)
- d=60*x
d=50(x+15)
solve above equations
we get 75km - 10 years agoHelpfull: Yes(5) No(1)
- s1=60 kmph, s2=50 kmph, T1=t, T2=t+15
we know that when distance is fixed then speed ratio is inversely proportional to the time taken ratio
so, s1/s2= T2/T1 => 60/50= t+15/t => t=75 min
so total distance = 75/60*60= 75 km - 10 years agoHelpfull: Yes(3) No(0)
- ans 75km 60t=50*(t+15/60) then t=5/4 length of the journey will 60*5/4=75
- 10 years agoHelpfull: Yes(2) No(0)
- 60/50=t+(15/60)/t
t=5/4
distance=60*(5/4)=75 km - 10 years agoHelpfull: Yes(0) No(0)
- x/50 -x/60=15/60
- 10 years agoHelpfull: Yes(0) No(0)
- may be its 75km.
- 10 years agoHelpfull: Yes(0) No(0)
- 85km,
Then only it will reach 15min late where the speed is 5okmph - 9 years agoHelpfull: Yes(0) No(2)
- D=(difference in time * speed * sped2)/difference in speed
=15/60[(50*60)/10]
=75Km - 7 years agoHelpfull: Yes(0) No(0)
- Let the distance be x km.
Difference in timings = 15 min = 15/60 hr
=> x/50 - x/60 = 15/60
=> 6x - 5x = 30/4.
=> x = 75 km. - 6 years agoHelpfull: Yes(0) No(0)
- Let x be the distance
first train reached at station on time
second train late by 15 min
so the equation from above case
60 * x = 50 * (x+15)
x = 75 - 1 year agoHelpfull: Yes(0) No(1)
- let x be time taken to reach with speed 60km/hr
60-->x
50--->x+15
60(x)=50(x+1/4) ----> 15min is 1/4hr
x=1.25hr
substitute in above any one equation
d=60(1.25)
d=75km - 1 Month agoHelpfull: Yes(0) No(0)
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