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A balloon drifts x miles in y hours and z minutes.What is the speed of

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A balloon drifts x miles in y hours and z minutes.What is the speed of  [#permalink]

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New post 07 Mar 2019, 03:08
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A
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  25% (medium)

Question Stats:

85% (01:24) correct 15% (01:02) wrong based on 26 sessions

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A balloon drifts x miles in y hours and z minutes.What is the speed of the balloon in miles per hour?


A. x/(y + z)

B. 60x/(60y + z)

C. x + y/z

D. y/(x + 60z)

E. z/(x + y)

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Re: A balloon drifts x miles in y hours and z minutes.What is the speed of  [#permalink]

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New post 07 Mar 2019, 04:13
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y hours z minutes is nothing but \(y\frac{z}{60}\) hours, i.e, \(\frac{60y+z}{60}\) hours.

Speed in miles/hr = \(\frac{x}{\frac{60y+z}{60}}\) miles/hr
= \(\frac{60x}{60y+z}\)

OPTION: B
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Re: A balloon drifts x miles in y hours and z minutes.What is the speed of  [#permalink]

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New post 07 Mar 2019, 05:47
speed=distance/time

distance = X miles
Time = Y hrs and Z mins
= y+z/60
= =60y+z/60

putting values in formula of speed :
60x/60y+z

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Re: A balloon drifts x miles in y hours and z minutes.What is the speed of  [#permalink]

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New post 07 Mar 2019, 06:22
Bunuel wrote:
A balloon drifts x miles in y hours and z minutes.What is the speed of the balloon in miles per hour?


A. x/(y + z)

B. 60x/(60y + z)

C. x + y/z

D. y/(x + 60z)

E. z/(x + y)


total time = y+z/60 ; 60y+z/60
so
distance = x
x = 60y+z/60 * speed
speed = 60x/(60y + z)
IMO B
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Re: A balloon drifts x miles in y hours and z minutes.What is the speed of   [#permalink] 07 Mar 2019, 06:22
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