Today Dave drove from home to work at twice his regular speed and arrived at work 16 minutes earlier than he regularly arrives. If Dave regularly drives at a constant speed of 40 miles per hour, what is the distance, in miles, from Dave’s home to work?
(A) 16/3
(B) 32/3
(C) 40/3
(D) 64/3
(E) 80/3
Answer: D
Source: www.gmatprepnow.com
Today Dave drove from home to work at twice his regular speed and arrived at work 16
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GMAT/MBA Expert
- Brent@GMATPrepNow
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Dave's regular driving speed = 40 mphBrent@GMATPrepNow wrote: ↑Tue Jul 19, 2022 6:26 amToday Dave drove from home to work at twice his regular speed and arrived at work 16 minutes earlier than he regularly arrives. If Dave regularly drives at a constant speed of 40 miles per hour, what is the distance, in miles, from Dave’s home to work?
(A) 16/3
(B) 32/3
(C) 40/3
(D) 64/3
(E) 80/3
Answer: D
Source: www.gmatprepnow.com
Dave's driving speed TODAY = 80 mph
Let d = the distance from Dave's home to work
Dave arrived at work 16 minutes earlier than he regularly arrives.
We can write: regular travel time in hours - 16/60 hours = today's travel time in hours
time = distance/rate, which means we can write: d/40 - 16/60 hours = d/80
Rewrite each fraction with denominator 240 to get: 6d/240 - 64/240 hours = 3d/240
Multiply both sides of the equation by 240 to get: 6d - 64 = 3d
Subtract 6d from both sides: -64 = -3d
Divide both sides by -3 to get: 64/3 = d
Answer: D