Rains in MIAMI-Percent

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vinay1983: Legendary Member; Posts: 643; Joined: Wed Aug 14, 2013 4:27 amFollowed by: 7 members; Thanked: 48 times

by vinay1983 » Wed Aug 21, 2013 4:27 am

On an average it rains once every 25 days in Miami. Half of these rainy days, the first flight between Miami and LA is cancelled.What percentage of the first flights between Miami and LA are cancelled?

OA: [spoiler]2%[/spoiler]

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Source: Beat The GMAT — Problem Solving | Wed Aug 21, 2013 4:27 am

ganeshrkamath: Master | Next Rank: 500 Posts; Posts: 283; Joined: Sun Jun 23, 2013 11:56 pmFollowed by: 26 members; Location: Bangalore, India; Thanked: 97 times; GMAT Score:750

by ganeshrkamath » Wed Aug 21, 2013 7:25 am

vinay1983 wrote:On an average it rains once every 25 days in Miami. Half of these rainy days, the first flight between Miami and LA is cancelled.What percentage of the first flights between Miami and LA are cancelled?

OA: [spoiler]2%[/spoiler]

It rains once every 25 days.
Percentage of days it rains = 1/25*100% = 4%

The first flight is cancelled on half of these rainy days.
So, assuming the flights are NOT cancelled on days it doesn't rain,
percentage of days the first flight is cancelled = 1/2 * 4% = [spoiler]2%[/spoiler]

Cheers

Last edited by ganeshrkamath on Wed Aug 21, 2013 9:41 am, edited 1 time in total.

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GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Wed Aug 21, 2013 8:07 am

vinay1983 wrote:On an average it rains once every 25 days in Miami. Half of these rainy days, the first flight between Miami and LA is cancelled.What percentage of the first flights between Miami and LA are cancelled?

OA: [spoiler]2%[/spoiler]

Let's see what happens over the period of 100 days
If it rains once every 25 days, then we can expect 4 days of rain in a 100-day period.

Of those 4 rainy days, 1/2 of the first flight between Miami and LA are cancelled.
So, this means 2 cancellations.

2 cancellations out of 100 days = [spoiler]2%[/spoiler]

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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