A cyclist completes a journey of 500m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s. how far does she travel at each speed
Answers
From the given question the correct answer is:
150 m at 10m/s
350 m at 50m/s
Solution :
Let , complete journey of 500m/s is z
1st part of the distance way at 10m/s will be x
remaindar part of the way at 50 m/s will be y
So,
x+y = z
x+y=22
Let time =distance / speed
t=d/s
x/10 + (500-x)/50= 22
LCD = 50
multiply equation by 50
5x+500-x=1100
4x=600
x=150 m
150 m at 10m/s
y=z-x
=500-150
=350
350 m at 50m/s
Answer:
As per the question let us consider , following
Let , complete journey of 500m/s be z
Let , 1st part of the distance way at 10m/s be x
and remainder part of the way at 50 m/s be y
So,
x + y = z
x + y = 22
we know ,
time =distance / speed
t = d/s
x/10 + (500-x)/50 = 22
LCD = 50
multiply equation by 50
5x + 500-x = 1100
4x = 600
x = 150 m
150 m at 10m/s
y = z-x
=500-150
=350
350 m at 50m/s
Thus , traveler traveled 150 m at 10 m/s 350 m at 50 m/s