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MathRevolution
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One ball will drop from a certain height. The height it will reach aft 21 Jun 2016, 17:28
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C
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45% (medium)

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69% (02:17) correct 31% (02:43) wrong based on 379 sessions

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One ball will drop from a certain height. The height it will reach after rebounding from the floor is 60 percent of the previous height. The total travel is 292cm when it touches the floor on third time. What is the value of the original height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

*An answer will be posted in 2 days.
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C
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One ball will drop from a certain height. The height it will reach aft 21 Jun 2016, 22:25
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MathRevolution
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 60 percent of the previous height. The total travel is 292cm when it touches the floor on third time. What is the value of the original height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

*An answer will be posted in 2 days.

when Ball comes down, Then i have indicated the distance covered in green
when Ball goes up, Then i have indicated the distance covered in red


Distance travelled uptil the ball touches the floor 3rd time: h + 0.6h +0.6 h + 0.6*0.6 h + 0.6*0.6 h

h + 2 * 0.6 * h + 2 * 0.36 * h = h (1+2*0.6+2* 0.36) = h (1+1.2+0.72) = 292

2.02 h = 292

h = 100.

C is the answer.
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One ball will drop from a certain height. The height it will reach aft 21 Jun 2016, 20:30
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MathRevolution
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 60 percent of the previous height. The total travel is 292cm when it touches the floor on third time. What is the value of the original height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

*An answer will be posted in 2 days.

Hi,

we have to be careful to calculate the distance covered....

two ways..


1) let the distance be x...
so first time it touches the floor - D = x...
next time it touches the floor, it travels .6x up and down - D = x+2*0.6x = 2.2x...
third time it touches the floor, it travels 0.6*0.6x up and down - D = 2.2x+2*0.6*0.6x = 2.92x...

so 2.92x = 292 ..... x =100

2) substitution..
start from middle value..
initial height = 100...
so in next jump it goes up 100*0.6 = 60 and in the third it moves 60*0.6 = 36..
so distance covered = 100+2*60+2*36 = 292..
this is what we are looking for..
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One ball will drop from a certain height. The height it will reach aft 22 Jun 2016, 10:20
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MathRevolution
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 60 percent of the previous height. The total travel is 292cm when it touches the floor on third time. What is the value of the original height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

*An answer will be posted in 2 days.
Let the ball dropped from height X cm

total distance in first trip = Xcm
second time bounces back to 60% of X(upwards) and again covers 60% of X(downwards)==2* 60% of X cm
third time also bounces back to 60% of 60% of X(upwards) and again covers 60% of 60%of X(downwards)=2* 60% of 60% of X cm
Given sum of all distance will be 292 cm
X +2*60%of X + 2*60% of 60% of X=292
X=100 cm
Ans C
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One ball will drop from a certain height. The height it will reach aft 22 Jun 2016, 12:34
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MathRevolution
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 60 percent of the previous height.The total travel is 292cm when it touches the floor on third time. What is the value of the original height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

*An answer will be posted in 2 days.

Since percentage is rise is mentioned in the question stem it is best to assume , initial height as 100 and proceed ( rest will be easy)

Next draw a mental image of the situation as below -

Attachment:
Falling Ball.png
Falling Ball.png [ 4.34 KiB | Viewed 8184 times ]

First Drop

Falling = 100

Total distance covered in first fall is 100

Second Drop

Rise = 60
Fall = 60

Total distance covered in second fall is 120

Third Drop

Rise = 36
Fall = 36

Total distance covered in second fall is 72

So, the total distance travelled in 292 (100+120+72)

Hence answer will be (C)
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One ball will drop from a certain height. The height it will reach aft 26 Jun 2016, 07:26
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If we consider the initial height as x, then from x+2(60%)x+2(60%)^2(x)=292, we get x=100. Hence, the correct answer is C.
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One ball will drop from a certain height. The height it will reach aft 27 Jun 2019, 13:07
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Let X be the original height
After first touch it will traverse 0.6x up and 0.6x down
After second touch it will traverse 0.6*0.6x up and the same distance down
Hence total is
X+ 1.2x + 0.72x = 292
X=100
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One ball will drop from a certain height. The height it will reach aft 06 Jan 2021, 08:17
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MathRevolution
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 60 percent of the previous height. The total travel is 292cm when it touches the floor on third time. What is the value of the original height?
A. 80cm
B. 90cm
C. 100cm
D. 120cm
E. 130cm

*An answer will be posted in 2 days.

Rebounding; the ball go up and come back down.

Let original distance is x cm

\(x+2*0.60x+2*0.60*0.60x=292\)

\(x+1.20x+0.72x=292\)

\(2.92x=292\)

\(x=\frac{292}{2.92}=\frac{292}{292}*100=100\)

The answer is \(C\)
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One ball will drop from a certain height. The height it will reach aft 18 May 2025, 11:42
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