The latest model of space shuttle can achieve a maximum

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swerve: Legendary Member; Posts: 2535; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Thu Oct 18, 2018 10:21 am

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The latest model of space shuttle can achieve a maximum speed of 25 miles per second. This maximum speed is how many miles per hour?

A. 1,500
B. 3,600
C. 9,000
D. 15,000
E. 90,000

The OA is E.

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Thu Oct 18, 2018 10:21 am

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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 » Thu Oct 18, 2018 10:46 am

swerve wrote:The latest model of space shuttle can achieve a maximum speed of 25 miles per second. This maximum speed is how many miles per hour?

A. 1,500
B. 3,600
C. 9,000
D. 15,000
E. 90,000

GIVEN: The shuttle can travel 25 miles in 1 second
So, the shuttle can travel 1500 miles in 60 seconds [if you multiply the travel time by 60, the distance traveled is also multiplied by 60]
In other words, the shuttle can travel 1500 miles in 1 MINUTE [60 seconds = 1 MINUTE]
So, the shuttle can travel 90,000 miles in 60 MINUTES [if you multiply the travel time by 60, the distance traveled is also multiplied by 60]
In other words, the shuttle can travel 90,000 miles in 1 HOUR [60 minutes = 1 HOUR]
In other words, the shuttle's speed = 90,000 mile per hour

Answer: E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members; Thanked: 59 times

by fskilnik@GMATH » Fri Oct 19, 2018 6:39 am

swerve wrote:The latest model of space shuttle can achieve a maximum speed of 25 miles per second. This maximum speed is how many miles per hour?

A. 1,500
B. 3,600
C. 9,000
D. 15,000
E. 90,000
Source: Princeton Review

\[25\,\,{\text{miles}}\,\,{\text{per}}\,\,{\text{second}}\,\,\,\, = \,\,\,?\,\,\,{\text{mph}}\]
LetÂ´s use UNITS CONTROL, one of the most powerful tools of our method!
\[?\,\, = \,\,\,\frac{{25\,\,{\text{miles}}}}{{1\,\,{\text{second}}}}\,\,\,\left( {\frac{{60\,\,{\text{seconds}}}}{{1\,\,{\text{minute}}}}} \right)\,\,\,\,\left( {\frac{{60\,\,{\text{minutes}}}}{{1\,\,{\text{h}}}}} \right)\,\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,\,90,000\,\,\]
\[\left( * \right)\,\,\,25 \cdot 60 \cdot 60\,\, = \,\,\,25 \cdot 4 \cdot 15 \cdot 4 \cdot 15 = 100 \cdot 225 \cdot 4 = 100 \cdot 900\]

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

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