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Time Distance and Speed
A boy cycles x km at10 km/hr and a further (x+4) km at 8 km/hr. If the total time taken is 5 hours, then x is.?
Read Solution (Total 19)
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- ans is 20
x/10 + (x+4/8) = 5
8x + 10× + 40= 400
18x = 360
x = 20 - 10 years agoHelpfull: Yes(19) No(0)
- Speed = Distance/ time taken
thus from given x/t =10 and (x+4)/t1 =8 and t+t1 =5
now substitute t as 5-t1,
hence x/(5-t1) =10 and it becomes 50-10t1 = x
now substitute x in 2nd given equation,
(50-10t1+4)/t1 =8
54-10t1 =8t1
18t1 =54
thus t1 =3
substitute t1 in 50-10t1 =x
thus x = 50-3(10)
x=20
hence x is 20 - 10 years agoHelpfull: Yes(4) No(0)
- ANS IS 20 KM
x/10+ x+4/8=5
8x+10x+40= 5*80
18x=360
x=20 - 10 years agoHelpfull: Yes(3) No(0)
- (x/10)+(x+4/8)=5
x=20 km - 10 years agoHelpfull: Yes(3) No(0)
- x/10+(x+4)/8=5 i.e. total time taken , found = given
4x+5x+20=200
9x=180
x=20km
ans. 20km - 10 years agoHelpfull: Yes(2) No(0)
- ans is 45km
(x/10+4/8)=5
8x=400-40
x=45km - 10 years agoHelpfull: Yes(1) No(4)
- x/10+(x+4)/8=5
(4x+5x+20)=200
9x=200-20
9x=180
x=20 km - 10 years agoHelpfull: Yes(1) No(0)
- 20 km
coz let 5=x/10 +x+4/8 - 10 years agoHelpfull: Yes(1) No(0)
- x/10+(x+4)/8=5
8x+10x+40=400
18x=360
x=20 - 10 years agoHelpfull: Yes(1) No(0)
- t1 + t2 = 5hours -(1) (total time for both journeys)
Here, t1= x / 10 (using formula time = distance/speed)
Similarly t2= (x+4) / 8
put these in equation (1) and solve,.
we will get x= 20 km/hr - 10 years agoHelpfull: Yes(1) No(0)
- pls i need correct answer
- 10 years agoHelpfull: Yes(0) No(1)
- ans is 20
x/10+(x+4)/8=5
x=20 - 10 years agoHelpfull: Yes(0) No(0)
- x=20 km
total time taken= 5 hrs
x/10+ (x+4)/8=5
4x+5x+20=200
9x=180
x=20 - 10 years agoHelpfull: Yes(0) No(0)
- (x/10)+((x+4)/8)=5
x=20 - 10 years agoHelpfull: Yes(0) No(0)
- (x+4/8)+(x/10)=5
then x=20 - 10 years agoHelpfull: Yes(0) No(0)
- ans.x=20
exp x/10+(x+4)/8=5 - 10 years agoHelpfull: Yes(0) No(0)
- 20km
x/10+x+4/8=5
solving this we get x=20
- 10 years agoHelpfull: Yes(0) No(0)
- x/10+(x+4)/8=5 i.e. total time taken , found = given
4x+5x+20=200
9x=180
x=20km
ans. 20km
- 10 years agoHelpfull: Yes(0) No(1)
- ans : x=20km
- 9 years agoHelpfull: Yes(0) No(0)
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